51972098003280 has 2880 divisors, whose sum is σ = 236511839416320. Its totient is φ = 10268742242304.

The previous prime is 51972098003257. The next prime is 51972098003281. The reversal of 51972098003280 is 8230089027915.

51972098003280 is a `hidden beast` number, since 519 + 7 + 2 + 0 + 98 + 0 + 0 + 32 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51972098003281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 95012975967 + ... + 95012976513.

It is an arithmetic number, because the mean of its divisors is an integer number (82122166464).

Almost surely, 2^{51972098003280} 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 51972098003280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118255919708160).

51972098003280 is an abundant number, since it is smaller than the sum of its proper divisors (184539741413040).

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

51972098003280 is a wasteful number, since it uses less digits than its factorization.

51972098003280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 51972098003280 in words is "fifty-one trillion, nine hundred seventy-two billion, ninety-eight million, three thousand, two hundred eighty".