51183959016960 has 5760 divisors, whose sum is σ = 249295964037120. Its totient is φ = 9459597312000.

The previous prime is 51183959016919. The next prime is 51183959016973. The reversal of 51183959016960 is 6961095938115.

51183959016960 is a `hidden beast` number, since 5 + 1 + 1 + 8 + 39 + 590 + 1 + 6 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 701150123484 + ... + 701150123556.

It is an arithmetic number, because the mean of its divisors is an integer number (43280549312).

Almost surely, 2^{51183959016960} 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 51183959016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124647982018560).

51183959016960 is an abundant number, since it is smaller than the sum of its proper divisors (198112005020160).

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

51183959016960 is a wasteful number, since it uses less digits than its factorization.

51183959016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 15746400, while the sum is 63.

The spelling of 51183959016960 in words is "fifty-one trillion, one hundred eighty-three billion, nine hundred fifty-nine million, sixteen thousand, nine hundred sixty".