51657345512730 has 160 divisors (see below), whose sum is σ = 139377780622080. Its totient is φ = 13728013850880.

The previous prime is 51657345512693. The next prime is 51657345512741. The reversal of 51657345512730 is 3721554375615.

51657345512730 is a `hidden beast` number, since 5 + 1 + 6 + 5 + 7 + 34 + 551 + 27 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1312179507 + ... + 1312218873.

It is an arithmetic number, because the mean of its divisors is an integer number (871111128888).

Almost surely, 2^{51657345512730} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51657345512730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69688890311040).

51657345512730 is an abundant number, since it is smaller than the sum of its proper divisors (87720435109350).

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

51657345512730 is a wasteful number, since it uses less digits than its factorization.

51657345512730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44906 (or 44897 counting only the distinct ones).

The product of its (nonzero) digits is 13230000, while the sum is 54.

The spelling of 51657345512730 in words is "fifty-one trillion, six hundred fifty-seven billion, three hundred forty-five million, five hundred twelve thousand, seven hundred thirty".