51978459238272 has 640 divisors, whose sum is σ = 184540208402880. Its totient is φ = 14212686643200.

The previous prime is 51978459238271. The next prime is 51978459238319. The reversal of 51978459238272 is 27283295487915.

51978459238272 is a `hidden beast` number, since 5 + 1 + 9 + 7 + 8 + 4 + 592 + 3 + 8 + 27 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 51978459238272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51978459238271) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 163645372 + ... + 163962692.

Almost surely, 2^{51978459238272} 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 51978459238272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92270104201440).

51978459238272 is an abundant number, since it is smaller than the sum of its proper divisors (132561749164608).

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

51978459238272 is a wasteful number, since it uses less digits than its factorization.

51978459238272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317452 (or 317431 counting only the distinct ones).

The product of its digits is 609638400, while the sum is 72.

The spelling of 51978459238272 in words is "fifty-one trillion, nine hundred seventy-eight billion, four hundred fifty-nine million, two hundred thirty-eight thousand, two hundred seventy-two".