51436406268624 has 320 divisors, whose sum is σ = 151076570480640. Its totient is φ = 14949227704320.

The previous prime is 51436406268619. The next prime is 51436406268679. The reversal of 51436406268624 is 42686260463415.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13454459577 + ... + 13454463399.

It is an arithmetic number, because the mean of its divisors is an integer number (472114282752).

Almost surely, 2^{51436406268624} 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 51436406268624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75538285240320).

51436406268624 is an abundant number, since it is smaller than the sum of its proper divisors (99640164212016).

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

51436406268624 is a wasteful number, since it uses less digits than its factorization.

51436406268624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6930 (or 6924 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 57.

The spelling of 51436406268624 in words is "fifty-one trillion, four hundred thirty-six billion, four hundred six million, two hundred sixty-eight thousand, six hundred twenty-four".