56624803081440 has 384 divisors, whose sum is σ = 205885984550400. Its totient is φ = 12937352970240.

The previous prime is 56624803081439. The next prime is 56624803081481. The reversal of 56624803081440 is 4418030842665.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17899476 + ... + 20824044.

It is an arithmetic number, because the mean of its divisors is an integer number (536161418100).

Almost surely, 2^{56624803081440} 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 56624803081440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102942992275200).

56624803081440 is an abundant number, since it is smaller than the sum of its proper divisors (149261181468960).

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

56624803081440 is a wasteful number, since it uses less digits than its factorization.

56624803081440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2924810 (or 2924802 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 56624803081440 in words is "fifty-six trillion, six hundred twenty-four billion, eight hundred three million, eighty-one thousand, four hundred forty".