55370552400 has 480 divisors, whose sum is σ = 208941388800. Its totient is φ = 13887936000.

The previous prime is 55370552323. The next prime is 55370552411. The reversal of 55370552400 is 425507355.

It is a super-2 number, since 2×55370552400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30984307 + ... + 30986093.

It is an arithmetic number, because the mean of its divisors is an integer number (435294560).

Almost surely, 2^55370552400 is an apocalyptic number.

55370552400 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 55370552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104470694400).

55370552400 is an abundant number, since it is smaller than the sum of its proper divisors (153570836400).

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

55370552400 is a wasteful number, since it uses less digits than its factorization.

55370552400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 36.

The spelling of 55370552400 in words is "fifty-five billion, three hundred seventy million, five hundred fifty-two thousand, four hundred".