10168992000 has 864 divisors, whose sum is σ = 40590111744. Its totient is φ = 2433024000.

The previous prime is 10168991953. The next prime is 10168992061. The reversal of 10168992000 is 29986101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 151775967 + ... + 151776033.

It is an arithmetic number, because the mean of its divisors is an integer number (46979296).

Almost surely, 2^10168992000 is an apocalyptic number.

10168992000 is a gapful number since it is divisible by the number (10) 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 10168992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20295055872).

10168992000 is an abundant number, since it is smaller than the sum of its proper divisors (30421119744).

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

10168992000 is a wasteful number, since it uses less digits than its factorization.

10168992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 10168992000 in words is "ten billion, one hundred sixty-eight million, nine hundred ninety-two thousand".