10002523664 has 60 divisors (see below), whose sum is σ = 22571891244. Its totient is φ = 4281484032.

The previous prime is 10002523651. The next prime is 10002523673. The reversal of 10002523664 is 46632520001.

It can be written as a sum of positive squares in 2 ways, for example, as 1407750400 + 8594773264 = 37520^2 + 92708^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 661274 + ... + 676230.

Almost surely, 2^10002523664 is an apocalyptic number.

10002523664 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 10002523664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11285945622).

10002523664 is an abundant number, since it is smaller than the sum of its proper divisors (12569367580).

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

10002523664 is a wasteful number, since it uses less digits than its factorization.

10002523664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15832 (or 15819 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The spelling of 10002523664 in words is "ten billion, two million, five hundred twenty-three thousand, six hundred sixty-four".