51147977612832 has 192 divisors, whose sum is σ = 157468278038400. Its totient is φ = 16151991058944.

The previous prime is 51147977612827. The next prime is 51147977612839. The reversal of 51147977612832 is 23821677974115.

51147977612832 is a `hidden beast` number, since 5 + 1 + 1 + 4 + 7 + 9 + 7 + 7 + 612 + 8 + 3 + 2 = 666.

It is a super-2 number, since 2×51147977612832² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51147977612832.

It is not an unprimeable number, because it can be changed into a prime (51147977612839) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1610748 + ... + 10241604.

It is an arithmetic number, because the mean of its divisors is an integer number (820147281450).

Almost surely, 2^{51147977612832} 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 51147977612832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78734139019200).

51147977612832 is an abundant number, since it is smaller than the sum of its proper divisors (106320300425568).

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

51147977612832 is an equidigital number, since it uses as much as digits as its factorization.

51147977612832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8630933 (or 8630881 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 63.

The spelling of 51147977612832 in words is "fifty-one trillion, one hundred forty-seven billion, nine hundred seventy-seven million, six hundred twelve thousand, eight hundred thirty-two".