10199197260000 has 2160 divisors, whose sum is σ = 45249741272736. Its totient is φ = 2131992576000.

The previous prime is 10199197259981. The next prime is 10199197260001. The reversal of 10199197260000 is 6279199101.

10199197260000 is a `hidden beast` number, since 10 + 19 + 9 + 19 + 7 + 2 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10199197260001) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 13473179622 + ... + 13473180378.

Almost surely, 2^{10199197260000} is an apocalyptic number.

10199197260000 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 10199197260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22624870636368).

10199197260000 is an abundant number, since it is smaller than the sum of its proper divisors (35050544012736).

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

10199197260000 is a wasteful number, since it uses less digits than its factorization.

10199197260000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 45.

The spelling of 10199197260000 in words is "ten trillion, one hundred ninety-nine billion, one hundred ninety-seven million, two hundred sixty thousand".