59055575040 has 1664 divisors, whose sum is σ = 279306547200. Its totient is φ = 11466178560.

The previous prime is 59055574999. The next prime is 59055575053. The reversal of 59055575040 is 4057555095.

59055575040 is a `hidden beast` number, since 5 + 9 + 0 + 5 + 557 + 50 + 40 = 666.

59055575040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 808980444 + ... + 808980516.

Almost surely, 2^59055575040 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 59055575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139653273600).

59055575040 is an abundant number, since it is smaller than the sum of its proper divisors (220250972160).

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

59055575040 is a wasteful number, since it uses less digits than its factorization.

59055575040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 787500, while the sum is 45.

The spelling of 59055575040 in words is "fifty-nine billion, fifty-five million, five hundred seventy-five thousand, forty".