55758479906304 has 480 divisors, whose sum is σ = 188818967937600. Its totient is φ = 15507652608000.

The previous prime is 55758479906273. The next prime is 55758479906321. The reversal of 55758479906304 is 40360997485755.

55758479906304 is a `hidden beast` number, since 5 + 5 + 7 + 5 + 8 + 479 + 90 + 63 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 593753754 + ... + 593847654.

It is an arithmetic number, because the mean of its divisors is an integer number (393372849870).

Almost surely, 2^{55758479906304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55758479906304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94409483968800).

55758479906304 is an abundant number, since it is smaller than the sum of its proper divisors (133060488031296).

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

55758479906304 is a wasteful number, since it uses less digits than its factorization.

55758479906304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94422 (or 94403 counting only the distinct ones).

The product of its (nonzero) digits is 1143072000, while the sum is 72.

The spelling of 55758479906304 in words is "fifty-five trillion, seven hundred fifty-eight billion, four hundred seventy-nine million, nine hundred six thousand, three hundred four".