10199577461920 has 480 divisors, whose sum is σ = 30829446982656. Its totient is φ = 3162194380800.

The previous prime is 10199577461917. The next prime is 10199577461933. The reversal of 10199577461920 is 2916477599101.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 807113842 + ... + 807126478.

Almost surely, 2^{10199577461920} is an apocalyptic number.

10199577461920 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 10199577461920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15414723491328).

10199577461920 is an abundant number, since it is smaller than the sum of its proper divisors (20629869520736).

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

10199577461920 is a wasteful number, since it uses less digits than its factorization.

10199577461920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12882 (or 12853 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 61.

The spelling of 10199577461920 in words is "ten trillion, one hundred ninety-nine billion, five hundred seventy-seven million, four hundred sixty-one thousand, nine hundred twenty".