51591590578944 has 360 divisors, whose sum is σ = 174389898507440. Its totient is φ = 15038842724352.

The previous prime is 51591590578943. The next prime is 51591590578973. The reversal of 51591590578944 is 44987509519515.

It is a happy number.

51591590578944 is a `hidden beast` number, since 5 + 1 + 5 + 9 + 1 + 5 + 9 + 0 + 578 + 9 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (51591590578943) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85314 + ... + 10158270.

Almost surely, 2^{51591590578944} is an apocalyptic number.

51591590578944 is a gapful number since it is divisible by the number (54) 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 51591590578944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87194949253720).

51591590578944 is an abundant number, since it is smaller than the sum of its proper divisors (122798307928496).

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

51591590578944 is a wasteful number, since it uses less digits than its factorization.

51591590578944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10073017 (or 10072994 counting only the distinct ones).

The product of its (nonzero) digits is 408240000, while the sum is 72.

The spelling of 51591590578944 in words is "fifty-one trillion, five hundred ninety-one billion, five hundred ninety million, five hundred seventy-eight thousand, nine hundred forty-four".