51612400131624 has 192 divisors, whose sum is σ = 142906594334400. Its totient is φ = 16822016640000.

The previous prime is 51612400131581. The next prime is 51612400131659. The reversal of 51612400131624 is 42613100421615.

51612400131624 is a `hidden beast` number, since 5 + 1 + 6 + 1 + 24 + 0 + 0 + 1 + 3 + 1 + 624 = 666.

It is a super-2 number, since 2×51612400131624² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4106318812 + ... + 4106331380.

It is an arithmetic number, because the mean of its divisors is an integer number (744305178825).

Almost surely, 2^{51612400131624} 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 51612400131624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71453297167200).

51612400131624 is an abundant number, since it is smaller than the sum of its proper divisors (91294194202776).

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

51612400131624 is a wasteful number, since it uses less digits than its factorization.

51612400131624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16216 (or 16209 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 51612400131624 in words is "fifty-one trillion, six hundred twelve billion, four hundred million, one hundred thirty-one thousand, six hundred twenty-four".