51253215120 has 240 divisors, whose sum is σ = 180334981632. Its totient is φ = 13028843520.

The previous prime is 51253215037. The next prime is 51253215137. The reversal of 51253215120 is 2151235215.

51253215120 is a `hidden beast` number, since 5 + 1 + 2 + 532 + 1 + 5 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×51253215120² (a number of 22 digits) contains 22 as substring.

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, 1478304 + ... + 1512576.

Almost surely, 2^51253215120 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 51253215120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90167490816).

51253215120 is an abundant number, since it is smaller than the sum of its proper divisors (129081766512).

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

51253215120 is a wasteful number, since it uses less digits than its factorization.

51253215120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34390 (or 34381 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 51253215120 in words is "fifty-one billion, two hundred fifty-three million, two hundred fifteen thousand, one hundred twenty".