51457390953696 has 1152 divisors, whose sum is σ = 196179686277120. Its totient is φ = 12420830822400.

The previous prime is 51457390953677. The next prime is 51457390953763. The reversal of 51457390953696 is 69635909375415.

51457390953696 is a `hidden beast` number, since 5 + 1 + 4 + 57 + 39 + 0 + 9 + 536 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1663065586 + ... + 1663096526.

It is an arithmetic number, because the mean of its divisors is an integer number (170294866560).

Almost surely, 2^{51457390953696} is an apocalyptic number.

51457390953696 is a gapful number since it is divisible by the number (56) 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 51457390953696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98089843138560).

51457390953696 is an abundant number, since it is smaller than the sum of its proper divisors (144722295323424).

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

51457390953696 is a wasteful number, since it uses less digits than its factorization.

51457390953696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31120 (or 31109 counting only the distinct ones).

The product of its (nonzero) digits is 826686000, while the sum is 72.

The spelling of 51457390953696 in words is "fifty-one trillion, four hundred fifty-seven billion, three hundred ninety million, nine hundred fifty-three thousand, six hundred ninety-six".