10080492271200 has 1152 divisors, whose sum is σ = 43760149171200. Its totient is φ = 2212454891520.

The previous prime is 10080492271189. The next prime is 10080492271373. The reversal of 10080492271200 is 217229408001.

10080492271200 is a `hidden beast` number, since 1 + 0 + 0 + 80 + 492 + 2 + 71 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 90642829 + ... + 90753971.

It is an arithmetic number, because the mean of its divisors is an integer number (37986240600).

Almost surely, 2^{10080492271200} is an apocalyptic number.

10080492271200 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 10080492271200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21880074585600).

10080492271200 is an abundant number, since it is smaller than the sum of its proper divisors (33679656900000).

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

10080492271200 is a wasteful number, since it uses less digits than its factorization.

10080492271200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111221 (or 111202 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 10080492271200 in words is "ten trillion, eighty billion, four hundred ninety-two million, two hundred seventy-one thousand, two hundred".