59517911040 has 480 divisors, whose sum is σ = 225353076480. Its totient is φ = 13123977216.

The previous prime is 59517910987. The next prime is 59517911053. The reversal of 59517911040 is 4011971595.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 59517910983 and 59517911001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49888684 + ... + 49889876.

It is an arithmetic number, because the mean of its divisors is an integer number (469485576).

Almost surely, 2^59517911040 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 59517911040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112676538240).

59517911040 is an abundant number, since it is smaller than the sum of its proper divisors (165835165440).

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

59517911040 is a wasteful number, since it uses less digits than its factorization.

59517911040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 42.

The spelling of 59517911040 in words is "fifty-nine billion, five hundred seventeen million, nine hundred eleven thousand, forty".