10249985449872 has 160 divisors (see below), whose sum is σ = 34310501408000. Its totient is φ = 2928567229056.

The previous prime is 10249985449859. The next prime is 10249985449901. The reversal of 10249985449872 is 27894458994201.

10249985449872 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 9 + 9 + 8 + 544 + 9 + 8 + 72 = 666.

10249985449872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 10249985449872.

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, 34439023 + ... + 34735374.

It is an arithmetic number, because the mean of its divisors is an integer number (214440633800).

Almost surely, 2^{10249985449872} is an apocalyptic number.

10249985449872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10249985449872 is an abundant number, since it is smaller than the sum of its proper divisors (24060515958128).

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

10249985449872 is an equidigital number, since it uses as much as digits as its factorization.

10249985449872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69174435 (or 69174409 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 10249985449872 in words is "ten trillion, two hundred forty-nine billion, nine hundred eighty-five million, four hundred forty-nine thousand, eight hundred seventy-two".