51464930155776 has 432 divisors, whose sum is σ = 157612301822976. Its totient is φ = 16739872708608.

The previous prime is 51464930155759. The next prime is 51464930155799. The reversal of 51464930155776 is 67755103946415.

51464930155776 is a `hidden beast` number, since 5 + 1 + 4 + 6 + 4 + 9 + 3 + 0 + 1 + 557 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2950454511 + ... + 2950471953.

Almost surely, 2^{51464930155776} 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 51464930155776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78806150911488).

51464930155776 is an abundant number, since it is smaller than the sum of its proper divisors (106147371667200).

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

51464930155776 is a wasteful number, since it uses less digits than its factorization.

51464930155776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18620 (or 18594 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 51464930155776 in words is "fifty-one trillion, four hundred sixty-four billion, nine hundred thirty million, one hundred fifty-five thousand, seven hundred seventy-six".