59998428864 has 210 divisors, whose sum is σ = 195494609772. Its totient is φ = 18181152000.

The previous prime is 59998428863. The next prime is 59998428869. The reversal of 59998428864 is 46882489995.

59998428864 is a `hidden beast` number, since 59 + 9 + 98 + 428 + 8 + 64 = 666.

It is a super-2 number, since 2×59998428864² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 59998428792 and 59998428801.

It is not an unprimeable number, because it can be changed into a prime (59998428863) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 579439 + ... + 675089.

Almost surely, 2^59998428864 is an apocalyptic number.

59998428864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59998428864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97747304886).

59998428864 is an abundant number, since it is smaller than the sum of its proper divisors (135496180908).

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

59998428864 is a wasteful number, since it uses less digits than its factorization.

59998428864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95697 (or 95667 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 72.

The spelling of 59998428864 in words is "fifty-nine billion, nine hundred ninety-eight million, four hundred twenty-eight thousand, eight hundred sixty-four".