59412741120 has 264 divisors, whose sum is σ = 211433549184. Its totient is φ = 15414755328.

The previous prime is 59412741107. The next prime is 59412741131. The reversal of 59412741120 is 2114721495.

59412741120 is a `hidden beast` number, since 59 + 412 + 74 + 1 + 120 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1687537 + ... + 1722383.

It is an arithmetic number, because the mean of its divisors is an integer number (800884656).

Almost surely, 2^59412741120 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 59412741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105716774592).

59412741120 is an abundant number, since it is smaller than the sum of its proper divisors (152020808064).

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

59412741120 is a wasteful number, since it uses less digits than its factorization.

59412741120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34915 (or 34894 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 59412741120 in words is "fifty-nine billion, four hundred twelve million, seven hundred forty-one thousand, one hundred twenty".