55938528000 has 432 divisors, whose sum is σ = 206009739936. Its totient is φ = 14566809600.

The previous prime is 55938527971. The next prime is 55938528013. The reversal of 55938528000 is 82583955.

55938528000 is a `hidden beast` number, since 5 + 593 + 8 + 52 + 8 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12381742 + ... + 12386258.

It is an arithmetic number, because the mean of its divisors is an integer number (476874398).

Almost surely, 2^55938528000 is an apocalyptic number.

55938528000 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 55938528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103004869968).

55938528000 is an abundant number, since it is smaller than the sum of its proper divisors (150071211936).

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

55938528000 is a wasteful number, since it uses less digits than its factorization.

55938528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4597 (or 4570 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 55938528000 in words is "fifty-five billion, nine hundred thirty-eight million, five hundred twenty-eight thousand".