51057713134560 has 576 divisors, whose sum is σ = 179357914939392. Its totient is φ = 12198574080000.

The previous prime is 51057713134529. The next prime is 51057713134579. The reversal of 51057713134560 is 6543131775015.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 1113777240 + ... + 1113823080.

It is an arithmetic number, because the mean of its divisors is an integer number (311385268992).

Almost surely, 2^{51057713134560} 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 51057713134560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89678957469696).

51057713134560 is an abundant number, since it is smaller than the sum of its proper divisors (128300201804832).

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

51057713134560 is a wasteful number, since it uses less digits than its factorization.

51057713134560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46159 (or 46140 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 48.

The spelling of 51057713134560 in words is "fifty-one trillion, fifty-seven billion, seven hundred thirteen million, one hundred thirty-four thousand, five hundred sixty".