51276738240 has 1008 divisors, whose sum is σ = 230932158912. Its totient is φ = 10167386112.

The previous prime is 51276738181. The next prime is 51276738259. The reversal of 51276738240 is 4283767215.

51276738240 is a `hidden beast` number, since 512 + 7 + 67 + 38 + 2 + 40 = 666.

51276738240 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 (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75740782 + ... + 75741458.

It is an arithmetic number, because the mean of its divisors is an integer number (229099364).

Almost surely, 2^51276738240 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 51276738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115466079456).

51276738240 is an abundant number, since it is smaller than the sum of its proper divisors (179655420672).

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

51276738240 is a wasteful number, since it uses less digits than its factorization.

51276738240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 51276738240 in words is "fifty-one billion, two hundred seventy-six million, seven hundred thirty-eight thousand, two hundred forty".