51679434240 has 1280 divisors, whose sum is σ = 227968266240. Its totient is φ = 10829168640.

The previous prime is 51679434239. The next prime is 51679434241. The reversal of 51679434240 is 4243497615.

51679434240 is a `hidden beast` number, since 516 + 7 + 94 + 3 + 4 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (51679434239) and next prime (51679434241).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51679434241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 501742029 + ... + 501742131.

It is an arithmetic number, because the mean of its divisors is an integer number (178100208).

Almost surely, 2^51679434240 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 51679434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113984133120).

51679434240 is an abundant number, since it is smaller than the sum of its proper divisors (176288832000).

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

51679434240 is a wasteful number, since it uses less digits than its factorization.

51679434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 51679434240 in words is "fifty-one billion, six hundred seventy-nine million, four hundred thirty-four thousand, two hundred forty".