51523426974240 has 2376 divisors, whose sum is σ = 210068563196772. Its totient is φ = 11932395171840.

The previous prime is 51523426974191. The next prime is 51523426974259. The reversal of 51523426974240 is 4247962432515.

51523426974240 is a `hidden beast` number, since 5 + 1 + 52 + 3 + 426 + 97 + 42 + 40 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 24489746064 + 51498937228176 = 156492^2 + 7176276^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 395 ways as a sum of consecutive naturals, for example, 844646343810 + ... + 844646343870.

Almost surely, 2^{51523426974240} 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 51523426974240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105034281598386).

51523426974240 is an abundant number, since it is smaller than the sum of its proper divisors (158545136222532).

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

51523426974240 is an equidigital number, since it uses as much as digits as its factorization.

51523426974240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 51523426974240 in words is "fifty-one trillion, five hundred twenty-three billion, four hundred twenty-six million, nine hundred seventy-four thousand, two hundred forty".