59640318144 has 392 divisors, whose sum is σ = 196156600320. Its totient is φ = 17831923200.

The previous prime is 59640318139. The next prime is 59640318181. The reversal of 59640318144 is 44181304695.

59640318144 is a `hidden beast` number, since 5 + 96 + 403 + 18 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 59640318144.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 40543329 + ... + 40544799.

Almost surely, 2^59640318144 is an apocalyptic number.

59640318144 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 59640318144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98078300160).

59640318144 is an abundant number, since it is smaller than the sum of its proper divisors (136516282176).

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

59640318144 is a wasteful number, since it uses less digits than its factorization.

59640318144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 59640318144 in words is "fifty-nine billion, six hundred forty million, three hundred eighteen thousand, one hundred forty-four".