10256084784 has 320 divisors, whose sum is σ = 34979904000. Its totient is φ = 2842076160.

The previous prime is 10256084753. The next prime is 10256084827. The reversal of 10256084784 is 48748065201.

10256084784 is a `hidden beast` number, since 1 + 0 + 2 + 560 + 8 + 4 + 7 + 84 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2616394 + ... + 2620310.

It is an arithmetic number, because the mean of its divisors is an integer number (109312200).

Almost surely, 2^10256084784 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 10256084784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17489952000).

10256084784 is an abundant number, since it is smaller than the sum of its proper divisors (24723819216).

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

10256084784 is a wasteful number, since it uses less digits than its factorization.

10256084784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3993 (or 3981 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 10256084784 in words is "ten billion, two hundred fifty-six million, eighty-four thousand, seven hundred eighty-four".