59874166128420 has 1536 divisors, whose sum is σ = 235983987671040. Its totient is φ = 12289195376640.

The previous prime is 59874166128377. The next prime is 59874166128449. The reversal of 59874166128420 is 2482166147895.

It is a happy number.

59874166128420 is a `hidden beast` number, since 5 + 9 + 8 + 7 + 4 + 1 + 6 + 612 + 8 + 4 + 2 + 0 = 666.

59874166128420 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 54779657394 + ... + 54779658486.

It is an arithmetic number, because the mean of its divisors is an integer number (153635408640).

Almost surely, 2^{59874166128420} 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 59874166128420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117991993835520).

59874166128420 is an abundant number, since it is smaller than the sum of its proper divisors (176109821542620).

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

59874166128420 is a wasteful number, since it uses less digits than its factorization.

59874166128420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 59874166128420 in words is "fifty-nine trillion, eight hundred seventy-four billion, one hundred sixty-six million, one hundred twenty-eight thousand, four hundred twenty".