10187563520 has 40 divisors (see below), whose sum is σ = 24426281484. Its totient is φ = 4075024384.

The previous prime is 10187563517. The next prime is 10187563549. The reversal of 10187563520 is 2536578101.

It can be written as a sum of positive squares in 2 ways, for example, as 9342382336 + 845181184 = 96656^2 + 29072^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1987199 + ... + 1992318.

Almost surely, 2^10187563520 is an apocalyptic number.

10187563520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10187563520 is an abundant number, since it is smaller than the sum of its proper divisors (14238717964).

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

10187563520 is an frugal number, since it uses more digits than its factorization.

10187563520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3979540 (or 3979524 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 38.

The spelling of 10187563520 in words is "ten billion, one hundred eighty-seven million, five hundred sixty-three thousand, five hundred twenty".