51818256001920 has 256 divisors, whose sum is σ = 173987453088000. Its totient is φ = 13081623920640.

The previous prime is 51818256001907. The next prime is 51818256001937. The reversal of 51818256001920 is 2910065281815.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 51818256001920.

It is a congruent number.

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, 50896255 + ... + 51904385.

It is an arithmetic number, because the mean of its divisors is an integer number (679638488625).

Almost surely, 2^{51818256001920} 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 51818256001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86993726544000).

51818256001920 is an abundant number, since it is smaller than the sum of its proper divisors (122169197086080).

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

51818256001920 is a wasteful number, since it uses less digits than its factorization.

51818256001920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009581 (or 1009569 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 48.

The spelling of 51818256001920 in words is "fifty-one trillion, eight hundred eighteen billion, two hundred fifty-six million, one thousand, nine hundred twenty".