10485573199920 has 1280 divisors, whose sum is σ = 47433430732800. Its totient is φ = 2067137003520.

The previous prime is 10485573199861. The next prime is 10485573199943. The reversal of 10485573199920 is 2999137558401.

10485573199920 is a `hidden beast` number, since 1 + 0 + 48 + 5 + 573 + 19 + 9 + 9 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 272609490 + ... + 272647950.

It is an arithmetic number, because the mean of its divisors is an integer number (37057367760).

Almost surely, 2^{10485573199920} is an apocalyptic number.

10485573199920 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 10485573199920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23716715366400).

10485573199920 is an abundant number, since it is smaller than the sum of its proper divisors (36947857532880).

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

10485573199920 is a wasteful number, since it uses less digits than its factorization.

10485573199920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38595 (or 38583 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 10485573199920 in words is "ten trillion, four hundred eighty-five billion, five hundred seventy-three million, one hundred ninety-nine thousand, nine hundred twenty".