10010685552 has 160 divisors (see below), whose sum is σ = 31346993664. Its totient is φ = 2687385600.

The previous prime is 10010685521. The next prime is 10010685613. The reversal of 10010685552 is 25558601001.

It is a congruent number.

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, 4631352 + ... + 4633512.

Almost surely, 2^10010685552 is an apocalyptic number.

10010685552 is a gapful number since it is divisible by the number (12) 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 10010685552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15673496832).

10010685552 is an abundant number, since it is smaller than the sum of its proper divisors (21336308112).

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

10010685552 is a wasteful number, since it uses less digits than its factorization.

10010685552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3007 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 33.

The spelling of 10010685552 in words is "ten billion, ten million, six hundred eighty-five thousand, five hundred fifty-two".