10119796992 has 288 divisors, whose sum is σ = 32159151360. Its totient is φ = 3127541760.

The previous prime is 10119796991. The next prime is 10119797047. The reversal of 10119796992 is 29969791101.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10119796991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8342178 + ... + 8343390.

It is an arithmetic number, because the mean of its divisors is an integer number (111663720).

Almost surely, 2^10119796992 is an apocalyptic number.

10119796992 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 10119796992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16079575680).

10119796992 is an abundant number, since it is smaller than the sum of its proper divisors (22039354368).

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

10119796992 is a wasteful number, since it uses less digits than its factorization.

10119796992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 551124, while the sum is 54.

The spelling of 10119796992 in words is "ten billion, one hundred nineteen million, seven hundred ninety-six thousand, nine hundred ninety-two".