10119998768000 has 256 divisors, whose sum is σ = 27778937921280. Its totient is φ = 3635656960000.

The previous prime is 10119998767939. The next prime is 10119998768017. The reversal of 10119998768000 is 86789991101.

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, 14261615 + ... + 14954385.

It is an arithmetic number, because the mean of its divisors is an integer number (108511476255).

Almost surely, 2^{10119998768000} is an apocalyptic number.

10119998768000 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 10119998768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13889468960640).

10119998768000 is an abundant number, since it is smaller than the sum of its proper divisors (17658939153280).

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

10119998768000 is an equidigital number, since it uses as much as digits as its factorization.

10119998768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692894 (or 692872 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 59.

The spelling of 10119998768000 in words is "ten trillion, one hundred nineteen billion, nine hundred ninety-eight million, seven hundred sixty-eight thousand".