59131332306420 has 192 divisors, whose sum is σ = 185215593378816. Its totient is φ = 13971514475520.

The previous prime is 59131332306359. The next prime is 59131332306433. The reversal of 59131332306420 is 2460323313195.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11022672 + ... + 15484248.

It is an arithmetic number, because the mean of its divisors is an integer number (964664548848).

Almost surely, 2^{59131332306420} 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 59131332306420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92607796689408).

59131332306420 is an abundant number, since it is smaller than the sum of its proper divisors (126084261072396).

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

59131332306420 is a wasteful number, since it uses less digits than its factorization.

59131332306420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4462110 (or 4462108 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 42.

The spelling of 59131332306420 in words is "fifty-nine trillion, one hundred thirty-one billion, three hundred thirty-two million, three hundred six thousand, four hundred twenty".