51757949880 has 384 divisors, whose sum is σ = 208422789120. Its totient is φ = 10847001600.

The previous prime is 51757949863. The next prime is 51757949891. The reversal of 51757949880 is 8894975715.

51757949880 is a `hidden beast` number, since 5 + 1 + 75 + 79 + 498 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4941529 + ... + 4951991.

It is an arithmetic number, because the mean of its divisors is an integer number (542767680).

Almost surely, 2^51757949880 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 51757949880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104211394560).

51757949880 is an abundant number, since it is smaller than the sum of its proper divisors (156664839240).

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

51757949880 is a wasteful number, since it uses less digits than its factorization.

51757949880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10651 (or 10644 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 63.

The spelling of 51757949880 in words is "fifty-one billion, seven hundred fifty-seven million, nine hundred forty-nine thousand, eight hundred eighty".