59995672437888 has 640 divisors, whose sum is σ = 198972155289600. Its totient is φ = 17791772497920.

The previous prime is 59995672437863. The next prime is 59995672437889. The reversal of 59995672437888 is 88873427659995.

59995672437888 is a `hidden beast` number, since 5 + 9 + 9 + 9 + 567 + 2 + 4 + 37 + 8 + 8 + 8 = 666.

It is a super-2 number, since 2×59995672437888² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 59995672437798 and 59995672437807.

It is not an unprimeable number, because it can be changed into a prime (59995672437889) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1500509545 + ... + 1500549527.

It is an arithmetic number, because the mean of its divisors is an integer number (310893992640).

Almost surely, 2^{59995672437888} 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 59995672437888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99486077644800).

59995672437888 is an abundant number, since it is smaller than the sum of its proper divisors (138976482851712).

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

59995672437888 is a wasteful number, since it uses less digits than its factorization.

59995672437888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40302 (or 40281 counting only the distinct ones).

The product of its digits is 65840947200, while the sum is 90.

The spelling of 59995672437888 in words is "fifty-nine trillion, nine hundred ninety-five billion, six hundred seventy-two million, four hundred thirty-seven thousand, eight hundred eighty-eight".