10505278320 has 80 divisors (see below), whose sum is σ = 33259299840. Its totient is φ = 2741800192.

The previous prime is 10505278319. The next prime is 10505278321. The reversal of 10505278320 is 2387250501.

It is an interprime number because it is at equal distance from previous prime (10505278319) and next prime (10505278321).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10505278320² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505278321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454380 + ... + 476939.

It is an arithmetic number, because the mean of its divisors is an integer number (415741248).

Almost surely, 2^10505278320 is an apocalyptic number.

10505278320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10505278320 is an abundant number, since it is smaller than the sum of its proper divisors (22754021520).

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

10505278320 is a wasteful number, since it uses less digits than its factorization.

10505278320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931382 (or 931376 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The spelling of 10505278320 in words is "ten billion, five hundred five million, two hundred seventy-eight thousand, three hundred twenty".