56098437857280 has 3456 divisors, whose sum is σ = 256489099776000. Its totient is φ = 11686329188352.

The previous prime is 56098437857257. The next prime is 56098437857317. The reversal of 56098437857280 is 8275873489065.

56098437857280 is a `hidden beast` number, since 5 + 6 + 0 + 9 + 8 + 43 + 7 + 8 + 572 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a junction number, because it is equal to n+sod(n) for n = 56098437857199 and 56098437857208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 710106808281 + ... + 710106808359.

It is an arithmetic number, because the mean of its divisors is an integer number (74215596000).

Almost surely, 2^{56098437857280} 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 56098437857280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128244549888000).

56098437857280 is an abundant number, since it is smaller than the sum of its proper divisors (200390661918720).

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

56098437857280 is an frugal number, since it uses more digits than its factorization.

56098437857280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 56098437857280 in words is "fifty-six trillion, ninety-eight billion, four hundred thirty-seven million, eight hundred fifty-seven thousand, two hundred eighty".