51335823360 has 512 divisors, whose sum is σ = 181191168000. Its totient is φ = 12353273856.

The previous prime is 51335823289. The next prime is 51335823391. The reversal of 51335823360 is 6332853315.

It is a tau number, because it is divible by the number of its divisors (512).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214794121 + ... + 214794359.

It is an arithmetic number, because the mean of its divisors is an integer number (353889000).

Almost surely, 2^51335823360 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 51335823360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90595584000).

51335823360 is an abundant number, since it is smaller than the sum of its proper divisors (129855344640).

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

51335823360 is a wasteful number, since it uses less digits than its factorization.

51335823360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The spelling of 51335823360 in words is "fifty-one billion, three hundred thirty-five million, eight hundred twenty-three thousand, three hundred sixty".