59825172960 has 288 divisors, whose sum is σ = 239010512832. Its totient is φ = 13340712960.

The previous prime is 59825172937. The next prime is 59825172961. The reversal of 59825172960 is 6927152895.

59825172960 is a `hidden beast` number, since 598 + 25 + 1 + 7 + 29 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 59825172897 and 59825172906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59825172961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340902 + ... + 485658.

It is an arithmetic number, because the mean of its divisors is an integer number (829897614).

Almost surely, 2^59825172960 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 59825172960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119505256416).

59825172960 is an abundant number, since it is smaller than the sum of its proper divisors (179185339872).

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

59825172960 is a wasteful number, since it uses less digits than its factorization.

59825172960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144826 (or 144815 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 59825172960 in words is "fifty-nine billion, eight hundred twenty-five million, one hundred seventy-two thousand, nine hundred sixty".