10270510404 has 96 divisors (see below), whose sum is σ = 29967415296. Its totient is φ = 2659668480.

The previous prime is 10270510381. The next prime is 10270510427. The reversal of 10270510404 is 40401507201.

It is an interprime number because it is at equal distance from previous prime (10270510381) and next prime (10270510427).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294897 + ... + 327879.

It is an arithmetic number, because the mean of its divisors is an integer number (312160576).

Almost surely, 2^10270510404 is an apocalyptic number.

10270510404 is a gapful number since it is divisible by the number (14) 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 10270510404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14983707648).

10270510404 is an abundant number, since it is smaller than the sum of its proper divisors (19696904892).

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

10270510404 is a wasteful number, since it uses less digits than its factorization.

10270510404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33345 (or 33343 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The spelling of 10270510404 in words is "ten billion, two hundred seventy million, five hundred ten thousand, four hundred four".