56098276416 has 756 divisors, whose sum is σ = 213547604400. Its totient is φ = 13993814016.

The previous prime is 56098276393. The next prime is 56098276427. The reversal of 56098276416 is 61467289065.

56098276416 is a `hidden beast` number, since 5 + 609 + 8 + 27 + 6 + 4 + 1 + 6 = 666.

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 107 ways as a sum of consecutive naturals, for example, 90626955 + ... + 90627573.

Almost surely, 2^56098276416 is an apocalyptic number.

56098276416 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 56098276416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106773802200).

56098276416 is an abundant number, since it is smaller than the sum of its proper divisors (157449327984).

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

56098276416 is a wasteful number, since it uses less digits than its factorization.

56098276416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 56098276416 in words is "fifty-six billion, ninety-eight million, two hundred seventy-six thousand, four hundred sixteen".