10190914560000 has 840 divisors, whose sum is σ = 38153623732224. Its totient is φ = 2717245440000.

The previous prime is 10190914559981. The next prime is 10190914560041. The reversal of 10190914560000 is 6541909101.

10190914560000 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 0 + 9 + 1 + 45 + 600 + 0 + 0 = 666.

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 59 ways as a sum of consecutive naturals, for example, 1244155905 + ... + 1244164095.

Almost surely, 2^{10190914560000} is an apocalyptic number.

10190914560000 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 10190914560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19076811866112).

10190914560000 is an abundant number, since it is smaller than the sum of its proper divisors (27962709172224).

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

10190914560000 is an frugal number, since it uses more digits than its factorization.

10190914560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8252 (or 8201 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 10190914560000 in words is "ten trillion, one hundred ninety billion, nine hundred fourteen million, five hundred sixty thousand".