55375200372600 has 288 divisors, whose sum is σ = 197048599020000. Its totient is φ = 13888144465920.

The previous prime is 55375200372599. The next prime is 55375200372601. The reversal of 55375200372600 is 627300257355.

55375200372600 is a `hidden beast` number, since 5 + 5 + 3 + 7 + 5 + 2 + 0 + 0 + 37 + 2 + 600 = 666.

55375200372600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55375200372599) and next prime (55375200372601).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55375200372601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42162636 + ... + 43456164.

It is an arithmetic number, because the mean of its divisors is an integer number (684196524375).

Almost surely, 2^{55375200372600} is an apocalyptic number.

55375200372600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55375200372600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98524299510000).

55375200372600 is an abundant number, since it is smaller than the sum of its proper divisors (141673398647400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55375200372600 is a wasteful number, since it uses less digits than its factorization.

55375200372600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294967 (or 1294955 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 45.

The spelling of 55375200372600 in words is "fifty-five trillion, three hundred seventy-five billion, two hundred million, three hundred seventy-two thousand, six hundred".