51848125920 has 720 divisors, whose sum is σ = 197705249280. Its totient is φ = 12791955456.

The previous prime is 51848125913. The next prime is 51848125939. The reversal of 51848125920 is 2952184815.

51848125920 is a `hidden beast` number, since 5 + 1 + 8 + 48 + 12 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×51848125920² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 408252897 + ... + 408253023.

It is an arithmetic number, because the mean of its divisors is an integer number (274590624).

Almost surely, 2^51848125920 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 51848125920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98852624640).

51848125920 is an abundant number, since it is smaller than the sum of its proper divisors (145857123360).

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

51848125920 is a wasteful number, since it uses less digits than its factorization.

51848125920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 51848125920 in words is "fifty-one billion, eight hundred forty-eight million, one hundred twenty-five thousand, nine hundred twenty".