10256077454634 has 256 divisors, whose sum is σ = 27205001625600. Its totient is φ = 2827599667200.

The previous prime is 10256077454621. The next prime is 10256077454653. The reversal of 10256077454634 is 43645477065201.

10256077454634 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 60 + 7 + 7 + 4 + 546 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 290794669 + ... + 290829935.

It is an arithmetic number, because the mean of its divisors is an integer number (106269537600).

Almost surely, 2^{10256077454634} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10256077454634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13602500812800).

10256077454634 is an abundant number, since it is smaller than the sum of its proper divisors (16948924170966).

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

10256077454634 is a wasteful number, since it uses less digits than its factorization.

10256077454634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36266 (or 36260 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 10256077454634 in words is "ten trillion, two hundred fifty-six billion, seventy-seven million, four hundred fifty-four thousand, six hundred thirty-four".