51151154534400 has 288 divisors, whose sum is σ = 179045504885520. Its totient is φ = 12837936168960.

The previous prime is 51151154534399. The next prime is 51151154534401. The reversal of 51151154534400 is 443545115115.

It is an interprime number because it is at equal distance from previous prime (51151154534399) and next prime (51151154534401).

It is a super-2 number, since 2×51151154534400² (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 (51151154534401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7183369 + ... + 12405768.

Almost surely, 2^{51151154534400} is an apocalyptic number.

51151154534400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51151154534400 is an abundant number, since it is smaller than the sum of its proper divisors (127894350351120).

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

51151154534400 is a wasteful number, since it uses less digits than its factorization.

51151154534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19589189 (or 19589164 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 39.

Adding to 51151154534400 its reverse (443545115115), we get a palindrome (51594699649515).

The spelling of 51151154534400 in words is "fifty-one trillion, one hundred fifty-one billion, one hundred fifty-four million, five hundred thirty-four thousand, four hundred".