51678257178240 has 3840 divisors, whose sum is σ = 247199912467200. Its totient is φ = 10153301114880.

The previous prime is 51678257178209. The next prime is 51678257178277. The reversal of 51678257178240 is 4287175287615.

51678257178240 is a `hidden beast` number, since 5 + 1 + 6 + 78 + 257 + 1 + 78 + 240 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 62338066146 + ... + 62338066974.

It is an arithmetic number, because the mean of its divisors is an integer number (64374977205).

Almost surely, 2^{51678257178240} 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 51678257178240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123599956233600).

51678257178240 is an abundant number, since it is smaller than the sum of its proper divisors (195521655288960).

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

51678257178240 is a wasteful number, since it uses less digits than its factorization.

51678257178240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 52684800, while the sum is 63.

The spelling of 51678257178240 in words is "fifty-one trillion, six hundred seventy-eight billion, two hundred fifty-seven million, one hundred seventy-eight thousand, two hundred forty".