10191256704 has 224 divisors, whose sum is σ = 30686521500. Its totient is φ = 3369682944.

The previous prime is 10191256687. The next prime is 10191256721. The reversal of 10191256704 is 40765219101.

10191256704 is a `hidden beast` number, since 1 + 0 + 1 + 91 + 2 + 567 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (10191256687) and next prime (10191256721).

It can be written as a sum of positive squares in 2 ways, for example, as 10088193600 + 103063104 = 100440^2 + 10152^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 13903122 + ... + 13903854.

Almost surely, 2^10191256704 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 10191256704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15343260750).

10191256704 is an abundant number, since it is smaller than the sum of its proper divisors (20495264796).

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

10191256704 is an frugal number, since it uses more digits than its factorization.

10191256704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 10191256704 in words is "ten billion, one hundred ninety-one million, two hundred fifty-six thousand, seven hundred four".