59918097536640 has 768 divisors, whose sum is σ = 238222854604800. Its totient is φ = 13593960898560.

The previous prime is 59918097536639. The next prime is 59918097536641. The reversal of 59918097536640 is 4663579081995.

59918097536640 is a `hidden beast` number, since 5 + 9 + 9 + 1 + 80 + 9 + 7 + 536 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (59918097536639) and next prime (59918097536641).

It is a super-2 number, since 2×59918097536640² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (59918097536641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3224340789 + ... + 3224359371.

It is an arithmetic number, because the mean of its divisors is an integer number (310186008600).

Almost surely, 2^{59918097536640} 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 59918097536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119111427302400).

59918097536640 is an abundant number, since it is smaller than the sum of its proper divisors (178304757068160).

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

59918097536640 is a wasteful number, since it uses less digits than its factorization.

59918097536640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19205 (or 19190 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 59918097536640 in words is "fifty-nine trillion, nine hundred eighteen billion, ninety-seven million, five hundred thirty-six thousand, six hundred forty".