51516534240 has 288 divisors, whose sum is σ = 179554729536. Its totient is φ = 13445652480.

The previous prime is 51516534233. The next prime is 51516534263. The reversal of 51516534240 is 4243561515.

51516534240 is a `hidden beast` number, since 51 + 51 + 6 + 534 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 51516534195 and 51516534204.

It is a congruent number.

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, 58079077 + ... + 58079963.

It is an arithmetic number, because the mean of its divisors is an integer number (623453922).

Almost surely, 2^51516534240 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 51516534240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89777364768).

51516534240 is an abundant number, since it is smaller than the sum of its proper divisors (128038195296).

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

51516534240 is a wasteful number, since it uses less digits than its factorization.

51516534240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 51516534240 in words is "fifty-one billion, five hundred sixteen million, five hundred thirty-four thousand, two hundred forty".