51606613260 has 288 divisors, whose sum is σ = 170582630400. Its totient is φ = 12580738560.

The previous prime is 51606613213. The next prime is 51606613313. The reversal of 51606613260 is 6231660615.

51606613260 is a `hidden beast` number, since 5 + 16 + 0 + 6 + 613 + 26 + 0 = 666.

51606613260 is digitally balanced in base 2, 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71775181 + ... + 71775899.

It is an arithmetic number, because the mean of its divisors is an integer number (592300800).

Almost surely, 2^51606613260 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 51606613260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85291315200).

51606613260 is an abundant number, since it is smaller than the sum of its proper divisors (118976017140).

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

51606613260 is a wasteful number, since it uses less digits than its factorization.

51606613260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 51606613260 in words is "fifty-one billion, six hundred six million, six hundred thirteen thousand, two hundred sixty".