55913279385600 has 5616 divisors, whose sum is σ = 270835486294464. Its totient is φ = 10899947520000.

The previous prime is 55913279385541. The next prime is 55913279385631. The reversal of 55913279385600 is 658397231955.

It is a happy number.

55913279385600 is a `hidden beast` number, since 5 + 5 + 9 + 1 + 32 + 7 + 9 + 38 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 553596825550 + ... + 553596825650.

It is an arithmetic number, because the mean of its divisors is an integer number (48225692004).

Almost surely, 2^{55913279385600} is an apocalyptic number.

55913279385600 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 55913279385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135417743147232).

55913279385600 is an abundant number, since it is smaller than the sum of its proper divisors (214922206908864).

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

55913279385600 is a wasteful number, since it uses less digits than its factorization.

55913279385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 61236000, while the sum is 63.

The spelling of 55913279385600 in words is "fifty-five trillion, nine hundred thirteen billion, two hundred seventy-nine million, three hundred eighty-five thousand, six hundred".