59936643360 has 720 divisors, whose sum is σ = 239019286968. Its totient is φ = 14123704320.

The previous prime is 59936643353. The next prime is 59936643383. The reversal of 59936643360 is 6334663995.

It is a happy number.

59936643360 is a `hidden beast` number, since 5 + 9 + 93 + 66 + 433 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 59698126224 + 238517136 = 244332^2 + 15444^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 59936643297 and 59936643306.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 58021404 + ... + 58022436.

Almost surely, 2^59936643360 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 59936643360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119509643484).

59936643360 is an abundant number, since it is smaller than the sum of its proper divisors (179082643608).

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

59936643360 is a wasteful number, since it uses less digits than its factorization.

59936643360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 54.

The spelling of 59936643360 in words is "fifty-nine billion, nine hundred thirty-six million, six hundred forty-three thousand, three hundred sixty".