51978964225248 has 144 divisors (see below), whose sum is σ = 147895815543840. Its totient is φ = 17316872921088.

The previous prime is 51978964225217. The next prime is 51978964225267. The reversal of 51978964225248 is 84252246987915.

51978964225248 is a `hidden beast` number, since 5 + 1 + 9 + 7 + 8 + 96 + 4 + 2 + 2 + 524 + 8 = 666.

51978964225248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×51978964225248² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6557201061 + ... + 6557208987.

It is an arithmetic number, because the mean of its divisors is an integer number (1027054274610).

Almost surely, 2^{51978964225248} is an apocalyptic number.

It is an amenable number.

51978964225248 is an abundant number, since it is smaller than the sum of its proper divisors (95916851318592).

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

51978964225248 is a wasteful number, since it uses less digits than its factorization.

51978964225248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17489 (or 17478 counting only the distinct ones).

The product of its digits is 696729600, while the sum is 72.

The spelling of 51978964225248 in words is "fifty-one trillion, nine hundred seventy-eight billion, nine hundred sixty-four million, two hundred twenty-five thousand, two hundred forty-eight".