59125332240 has 640 divisors, whose sum is σ = 240284620800. Its totient is φ = 13222379520.

The previous prime is 59125332221. The next prime is 59125332247. The reversal of 59125332240 is 4223352195.

59125332240 is a `hidden beast` number, since 59 + 12 + 533 + 22 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 59125332195 and 59125332204.

It is not an unprimeable number, because it can be changed into a prime (59125332247) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13841305 + ... + 13845575.

It is an arithmetic number, because the mean of its divisors is an integer number (375444720).

Almost surely, 2^59125332240 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 59125332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120142310400).

59125332240 is an abundant number, since it is smaller than the sum of its proper divisors (181159288560).

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

59125332240 is a wasteful number, since it uses less digits than its factorization.

59125332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4352 (or 4340 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 59125332240 in words is "fifty-nine billion, one hundred twenty-five million, three hundred thirty-two thousand, two hundred forty".