51249677436 has 216 divisors, whose sum is σ = 146273662080. Its totient is φ = 15083518464.

The previous prime is 51249677407. The next prime is 51249677447. The reversal of 51249677436 is 63477694215.

51249677436 is a `hidden beast` number, since 51 + 2 + 4 + 96 + 77 + 436 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21150121 + ... + 21152543.

It is an arithmetic number, because the mean of its divisors is an integer number (677192880).

Almost surely, 2^51249677436 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 51249677436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73136831040).

51249677436 is an abundant number, since it is smaller than the sum of its proper divisors (95023984644).

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

51249677436 is a wasteful number, since it uses less digits than its factorization.

51249677436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593 (or 2571 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 51249677436 in words is "fifty-one billion, two hundred forty-nine million, six hundred seventy-seven thousand, four hundred thirty-six".