51964095456 has 576 divisors, whose sum is σ = 191121638400. Its totient is φ = 13614676992.

The previous prime is 51964095439. The next prime is 51964095461. The reversal of 51964095456 is 65459046915.

51964095456 is a `hidden beast` number, since 5 + 1 + 96 + 4 + 0 + 9 + 545 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 144746605 + ... + 144746963.

It is an arithmetic number, because the mean of its divisors is an integer number (331808400).

Almost surely, 2^51964095456 is an apocalyptic number.

51964095456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51964095456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95560819200).

51964095456 is an abundant number, since it is smaller than the sum of its proper divisors (139157542944).

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

51964095456 is a wasteful number, since it uses less digits than its factorization.

51964095456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 51964095456 in words is "fifty-one billion, nine hundred sixty-four million, ninety-five thousand, four hundred fifty-six".