51100177532472 has 192 divisors, whose sum is σ = 142602277334400. Its totient is φ = 16518811576320.

The previous prime is 51100177532447. The next prime is 51100177532473. The reversal of 51100177532472 is 27423577100115.

51100177532472 is a `hidden beast` number, since 5 + 1 + 1 + 0 + 0 + 1 + 77 + 532 + 47 + 2 = 666.

It is a super-2 number, since 2×51100177532472² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51100177532473) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1540955572 + ... + 1540988732.

It is an arithmetic number, because the mean of its divisors is an integer number (742720194450).

Almost surely, 2^{51100177532472} 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 51100177532472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71301138667200).

51100177532472 is an abundant number, since it is smaller than the sum of its proper divisors (91502099801928).

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

51100177532472 is a wasteful number, since it uses less digits than its factorization.

51100177532472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35086 (or 35079 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 51100177532472 in words is "fifty-one trillion, one hundred billion, one hundred seventy-seven million, five hundred thirty-two thousand, four hundred seventy-two".