10010814960 has 80 divisors (see below), whose sum is σ = 31044039840. Its totient is φ = 2668646400.

The previous prime is 10010814941. The next prime is 10010814971. The reversal of 10010814960 is 6941801001.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1003276 + ... + 1013204.

It is an arithmetic number, because the mean of its divisors is an integer number (388050498).

Almost surely, 2^10010814960 is an apocalyptic number.

10010814960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010814960 is an abundant number, since it is smaller than the sum of its proper divisors (21033224880).

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

10010814960 is a wasteful number, since it uses less digits than its factorization.

10010814960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14146 (or 14140 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

It can be divided in two parts, 10010 and 814960, that added together give a triangular number (824970 = T₁₂₈₄).

The spelling of 10010814960 in words is "ten billion, ten million, eight hundred fourteen thousand, nine hundred sixty".