51531742080 has 512 divisors, whose sum is σ = 224632396800. Its totient is φ = 10872299520.

The previous prime is 51531742049. The next prime is 51531742109. The reversal of 51531742080 is 8024713515.

51531742080 is a `hidden beast` number, since 5 + 1 + 531 + 7 + 42 + 0 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1556095 + ... + 1588865.

It is an arithmetic number, because the mean of its divisors is an integer number (438735150).

Almost surely, 2^51531742080 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 51531742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112316198400).

51531742080 is an abundant number, since it is smaller than the sum of its proper divisors (173100654720).

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

51531742080 is a wasteful number, since it uses less digits than its factorization.

51531742080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32819 (or 32801 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 51531742080 in words is "fifty-one billion, five hundred thirty-one million, seven hundred forty-two thousand, eighty".