10270736056 has 64 divisors (see below), whose sum is σ = 22559201280. Its totient is φ = 4292956800.

The previous prime is 10270736041. The next prime is 10270736071. The reversal of 10270736056 is 65063707201.

It is an interprime number because it is at equal distance from previous prime (10270736041) and next prime (10270736071).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365401 + ... + 392503.

It is an arithmetic number, because the mean of its divisors is an integer number (352487520).

Almost surely, 2^10270736056 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 10270736056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11279600640).

10270736056 is an abundant number, since it is smaller than the sum of its proper divisors (12288465224).

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

10270736056 is a wasteful number, since it uses less digits than its factorization.

10270736056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27284 (or 27280 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The spelling of 10270736056 in words is "ten billion, two hundred seventy million, seven hundred thirty-six thousand, fifty-six".