51895764313120 has 1728 divisors, whose sum is σ = 167881247170560. Its totient is φ = 15058068480000.

The previous prime is 51895764313103. The next prime is 51895764313171. The reversal of 51895764313120 is 2131346759815.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 206756032995 + ... + 206756033245.

It is an arithmetic number, because the mean of its divisors is an integer number (97153499520).

It is a 2-persistent number, because it is pandigital, and so is 2⋅51895764313120 = 103791528626240, but 3⋅51895764313120 = 155687292939360 is not.

Almost surely, 2^{51895764313120} 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 51895764313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83940623585280).

51895764313120 is an abundant number, since it is smaller than the sum of its proper divisors (115985482857440).

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

51895764313120 is a wasteful number, since it uses less digits than its factorization.

51895764313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 55.

The spelling of 51895764313120 in words is "fifty-one trillion, eight hundred ninety-five billion, seven hundred sixty-four million, three hundred thirteen thousand, one hundred twenty".