51675931915776 has 3840 divisors, whose sum is σ = 211054491648000. Its totient is φ = 12515047243776.

The previous prime is 51675931915679. The next prime is 51675931915807. The reversal of 51675931915776 is 67751913957615.

51675931915776 is a `hidden beast` number, since 5 + 1 + 6 + 7 + 593 + 19 + 15 + 7 + 7 + 6 = 666.

It is a super-2 number, since 2×51675931915776² (a number of 28 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 317030257071 + ... + 317030257233.

It is an arithmetic number, because the mean of its divisors is an integer number (54962107200).

Almost surely, 2^{51675931915776} is an apocalyptic number.

51675931915776 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 51675931915776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105527245824000).

51675931915776 is an abundant number, since it is smaller than the sum of its proper divisors (159378559732224).

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

51675931915776 is a wasteful number, since it uses less digits than its factorization.

51675931915776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 234 counting only the distinct ones).

The product of its digits is 375070500, while the sum is 72.

The spelling of 51675931915776 in words is "fifty-one trillion, six hundred seventy-five billion, nine hundred thirty-one million, nine hundred fifteen thousand, seven hundred seventy-six".