51716757153600 has 1008 divisors, whose sum is σ = 229256630493696. Its totient is φ = 10742284800000.

The previous prime is 51716757153583. The next prime is 51716757153613. The reversal of 51716757153600 is 635175761715.

51716757153600 is a `hidden beast` number, since 5 + 1 + 7 + 1 + 6 + 7 + 571 + 5 + 3 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3604701627 + ... + 3604715973.

Almost surely, 2^{51716757153600} is an apocalyptic number.

51716757153600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51716757153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114628315246848).

51716757153600 is an abundant number, since it is smaller than the sum of its proper divisors (177539873340096).

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

51716757153600 is a wasteful number, since it uses less digits than its factorization.

51716757153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17644 (or 17626 counting only the distinct ones).

The product of its (nonzero) digits is 4630500, while the sum is 54.

The spelling of 51716757153600 in words is "fifty-one trillion, seven hundred sixteen billion, seven hundred fifty-seven million, one hundred fifty-three thousand, six hundred".