55253613600 has 432 divisors, whose sum is σ = 202036318848. Its totient is φ = 14199736320.

The previous prime is 55253613587. The next prime is 55253613607. The reversal of 55253613600 is 631635255.

55253613600 is a `hidden beast` number, since 5 + 5 + 2 + 5 + 36 + 13 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (55253613607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22671582 + ... + 22674018.

It is an arithmetic number, because the mean of its divisors is an integer number (467676664).

Almost surely, 2^55253613600 is an apocalyptic number.

55253613600 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 55253613600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101018159424).

55253613600 is an abundant number, since it is smaller than the sum of its proper divisors (146782705248).

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

55253613600 is a wasteful number, since it uses less digits than its factorization.

55253613600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 55253613600 in words is "fifty-five billion, two hundred fifty-three million, six hundred thirteen thousand, six hundred".