10188913152 has 320 divisors, whose sum is σ = 31281997824. Its totient is φ = 2916925440.

The previous prime is 10188913139. The next prime is 10188913199. The reversal of 10188913152 is 25131988101.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10188913152.

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, 61011373 + ... + 61011539.

Almost surely, 2^10188913152 is an apocalyptic number.

10188913152 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 10188913152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15640998912).

10188913152 is an abundant number, since it is smaller than the sum of its proper divisors (21093084672).

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

10188913152 is a wasteful number, since it uses less digits than its factorization.

10188913152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 39.

The spelling of 10188913152 in words is "ten billion, one hundred eighty-eight million, nine hundred thirteen thousand, one hundred fifty-two".