51276646512 has 320 divisors, whose sum is σ = 181558379520. Its totient is φ = 13492915200.

The previous prime is 51276646459. The next prime is 51276646517. The reversal of 51276646512 is 21564667215.

51276646512 is a `hidden beast` number, since 5 + 1 + 2 + 76 + 64 + 6 + 512 = 666.

It is a super-2 number, since 2×51276646512² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51276646517) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21266587 + ... + 21268997.

It is an arithmetic number, because the mean of its divisors is an integer number (567369936).

Almost surely, 2^51276646512 is an apocalyptic number.

51276646512 is a gapful number since it is divisible by the number (52) 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 51276646512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90779189760).

51276646512 is an abundant number, since it is smaller than the sum of its proper divisors (130281733008).

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

51276646512 is a wasteful number, since it uses less digits than its factorization.

51276646512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2989 (or 2977 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 51276646512 in words is "fifty-one billion, two hundred seventy-six million, six hundred forty-six thousand, five hundred twelve".