10182485976000 has 448 divisors, whose sum is σ = 36350097114240. Its totient is φ = 2496685670400.

The previous prime is 10182485975939. The next prime is 10182485976011. The reversal of 10182485976000 is 67958428101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80120506 + ... + 80247494.

It is an arithmetic number, because the mean of its divisors is an integer number (81138609630).

Almost surely, 2^{10182485976000} is an apocalyptic number.

10182485976000 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 10182485976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18175048557120).

10182485976000 is an abundant number, since it is smaller than the sum of its proper divisors (26167611138240).

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

10182485976000 is a wasteful number, since it uses less digits than its factorization.

10182485976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127289 (or 127269 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 10182485976000 in words is "ten trillion, one hundred eighty-two billion, four hundred eighty-five million, nine hundred seventy-six thousand".