55906064751600 has 1920 divisors, whose sum is σ = 239136054312960. Its totient is φ = 12137112576000.

The previous prime is 55906064751577. The next prime is 55906064751617. The reversal of 55906064751600 is 615746060955.

55906064751600 is a `hidden beast` number, since 5 + 5 + 9 + 0 + 6 + 0 + 6 + 475 + 160 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 32484638740 + ... + 32484640460.

It is an arithmetic number, because the mean of its divisors is an integer number (124550028288).

Almost surely, 2^{55906064751600} is an apocalyptic number.

55906064751600 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 55906064751600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119568027156480).

55906064751600 is an abundant number, since it is smaller than the sum of its proper divisors (183229989561360).

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

55906064751600 is a wasteful number, since it uses less digits than its factorization.

55906064751600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 55906064751600 in words is "fifty-five trillion, nine hundred six billion, sixty-four million, seven hundred fifty-one thousand, six hundred".