59880461760 has 420 divisors, whose sum is σ = 247786974072. Its totient is φ = 13686672384.

The previous prime is 59880461741. The next prime is 59880461777. The reversal of 59880461760 is 6716408895.

59880461760 is a `hidden beast` number, since 598 + 8 + 0 + 46 + 1 + 7 + 6 + 0 = 666.

59880461760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (420).

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 = 59880461697 and 59880461706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1246507 + ... + 1293653.

Almost surely, 2^59880461760 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 59880461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123893487036).

59880461760 is an abundant number, since it is smaller than the sum of its proper divisors (187906512312).

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

59880461760 is a wasteful number, since it uses less digits than its factorization.

59880461760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47190 (or 47164 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 59880461760 in words is "fifty-nine billion, eight hundred eighty million, four hundred sixty-one thousand, seven hundred sixty".