51601290983424 has 960 divisors, whose sum is σ = 190114058534400. Its totient is φ = 13579251941376.

The previous prime is 51601290983419. The next prime is 51601290983497. The reversal of 51601290983424 is 42438909210615.

It is a happy number.

51601290983424 is a `hidden beast` number, since 5 + 1 + 6 + 0 + 1 + 290 + 9 + 8 + 342 + 4 = 666.

51601290983424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7351654987 + ... + 7351662005.

It is an arithmetic number, because the mean of its divisors is an integer number (198035477640).

Almost surely, 2^{51601290983424} is an apocalyptic number.

51601290983424 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 51601290983424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95057029267200).

51601290983424 is an abundant number, since it is smaller than the sum of its proper divisors (138512767550976).

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

51601290983424 is a wasteful number, since it uses less digits than its factorization.

51601290983424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7560 (or 7531 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 51601290983424 in words is "fifty-one trillion, six hundred one billion, two hundred ninety million, nine hundred eighty-three thousand, four hundred twenty-four".