59960487831552 has 960 divisors, whose sum is σ = 225506005845120. Its totient is φ = 15419621376000.

The previous prime is 59960487831533. The next prime is 59960487831583. The reversal of 59960487831552 is 25513878406995.

59960487831552 is a `hidden beast` number, since 5 + 9 + 9 + 6 + 0 + 487 + 83 + 15 + 52 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1290087738 + ... + 1290134214.

It is an arithmetic number, because the mean of its divisors is an integer number (234902089422).

It is a 1-persistent number, because it is pandigital, but 2⋅59960487831552 = 119920975663104 is not.

Almost surely, 2^{59960487831552} 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 59960487831552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112753002922560).

59960487831552 is an abundant number, since it is smaller than the sum of its proper divisors (165545518013568).

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

59960487831552 is a wasteful number, since it uses less digits than its factorization.

59960487831552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46630 (or 46601 counting only the distinct ones).

The product of its (nonzero) digits is 653184000, while the sum is 72.

The spelling of 59960487831552 in words is "fifty-nine trillion, nine hundred sixty billion, four hundred eighty-seven million, eight hundred thirty-one thousand, five hundred fifty-two".