51311418537600 has 2304 divisors, whose sum is σ = 213989953766400. Its totient is φ = 11923830374400.

The previous prime is 51311418537583. The next prime is 51311418537629. The reversal of 51311418537600 is 673581411315.

51311418537600 is a `hidden beast` number, since 5 + 1 + 3 + 1 + 1 + 4 + 1 + 8 + 5 + 37 + 600 = 666.

It is a super-2 number, since 2×51311418537600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 64380700402 + ... + 64380701198.

It is an arithmetic number, because the mean of its divisors is an integer number (92877584100).

Almost surely, 2^{51311418537600} is an apocalyptic number.

51311418537600 is a gapful number since it is divisible by the number (50) 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 51311418537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106994976883200).

51311418537600 is an abundant number, since it is smaller than the sum of its proper divisors (162678535228800).

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

51311418537600 is a wasteful number, since it uses less digits than its factorization.

51311418537600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

Adding to 51311418537600 its reverse (673581411315), we get a palindrome (51984999948915).

The spelling of 51311418537600 in words is "fifty-one trillion, three hundred eleven billion, four hundred eighteen million, five hundred thirty-seven thousand, six hundred".