10180327872 has 336 divisors, whose sum is σ = 33641580672. Its totient is φ = 2678046720.

The previous prime is 10180327847. The next prime is 10180327897. The reversal of 10180327872 is 27872308101.

It is an interprime number because it is at equal distance from previous prime (10180327847) and next prime (10180327897).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 10180327872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7934143 + ... + 7935425.

It is an arithmetic number, because the mean of its divisors is an integer number (100123752).

Almost surely, 2^10180327872 is an apocalyptic number.

10180327872 is a gapful number since it is divisible by the number (12) 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 10180327872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16820790336).

10180327872 is an abundant number, since it is smaller than the sum of its proper divisors (23461252800).

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

10180327872 is a wasteful number, since it uses less digits than its factorization.

10180327872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The spelling of 10180327872 in words is "ten billion, one hundred eighty million, three hundred twenty-seven thousand, eight hundred seventy-two".