59145021936 has 1080 divisors, whose sum is σ = 237290062464. Its totient is φ = 14095710720.

The previous prime is 59145021931. The next prime is 59145022007. The reversal of 59145021936 is 63912054195.

59145021936 is a `hidden beast` number, since 5 + 9 + 1 + 450 + 2 + 193 + 6 = 666.

59145021936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 59145021891 and 59145021900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59145021931) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 354161725 + ... + 354161891.

Almost surely, 2^59145021936 is an apocalyptic number.

59145021936 is a gapful number since it is divisible by the number (56) 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 59145021936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118645031232).

59145021936 is an abundant number, since it is smaller than the sum of its proper divisors (178145040528).

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

59145021936 is a wasteful number, since it uses less digits than its factorization.

59145021936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 59145021936 in words is "fifty-nine billion, one hundred forty-five million, twenty-one thousand, nine hundred thirty-six".