59952254060160 has 4096 divisors, whose sum is σ = 289770504192000. Its totient is φ = 11337184051200.

The previous prime is 59952254060147. The next prime is 59952254060183. The reversal of 59952254060160 is 6106045225995.

59952254060160 is a `hidden beast` number, since 5 + 9 + 9 + 5 + 2 + 25 + 4 + 0 + 601 + 6 + 0 = 666.

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 = 59952254060097 and 59952254060106.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 177899863512 + ... + 177899863848.

It is an arithmetic number, because the mean of its divisors is an integer number (70744752000).

Almost surely, 2^{59952254060160} 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 59952254060160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144885252096000).

59952254060160 is an abundant number, since it is smaller than the sum of its proper divisors (229818250131840).

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

59952254060160 is a wasteful number, since it uses less digits than its factorization.

59952254060160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 59952254060160 in words is "fifty-nine trillion, nine hundred fifty-two billion, two hundred fifty-four million, sixty thousand, one hundred sixty".