51101631772400 has 120 divisors (see below), whose sum is σ = 136128350533008. Its totient is φ = 18277781760000.

The previous prime is 51101631772361. The next prime is 51101631772439. The reversal of 51101631772400 is 427713610115.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (51101631772361) and next prime (51101631772439).

It is a super-2 number, since 2×51101631772400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94928381 + ... + 95465180.

Almost surely, 2^{51101631772400} is an apocalyptic number.

51101631772400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51101631772400 is an abundant number, since it is smaller than the sum of its proper divisors (85026718760608).

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

51101631772400 is a wasteful number, since it uses less digits than its factorization.

51101631772400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190393651 (or 190393640 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 38.

The spelling of 51101631772400 in words is "fifty-one trillion, one hundred one billion, six hundred thirty-one million, seven hundred seventy-two thousand, four hundred".