51083397975456 has 576 divisors, whose sum is σ = 184479408562176. Its totient is φ = 13022792755200.

The previous prime is 51083397975431. The next prime is 51083397975469. The reversal of 51083397975456 is 65457979338015.

51083397975456 is a `hidden beast` number, since 5 + 1 + 0 + 8 + 3 + 3 + 9 + 79 + 7 + 545 + 6 = 666.

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

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, 631687281 + ... + 631768143.

It is an arithmetic number, because the mean of its divisors is an integer number (320276750976).

Almost surely, 2^{51083397975456} is an apocalyptic number.

51083397975456 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 51083397975456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92239704281088).

51083397975456 is an abundant number, since it is smaller than the sum of its proper divisors (133396010586720).

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

51083397975456 is a wasteful number, since it uses less digits than its factorization.

51083397975456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81425 (or 81414 counting only the distinct ones).

The product of its (nonzero) digits is 857304000, while the sum is 72.

The spelling of 51083397975456 in words is "fifty-one trillion, eighty-three billion, three hundred ninety-seven million, nine hundred seventy-five thousand, four hundred fifty-six".