10111291178272 has 96 divisors (see below), whose sum is σ = 21139362840960. Its totient is φ = 4744316497920.

The previous prime is 10111291178237. The next prime is 10111291178291. The reversal of 10111291178272 is 27287119211101.

10111291178272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 738744613 + ... + 738758299.

It is an arithmetic number, because the mean of its divisors is an integer number (220201696260).

Almost surely, 2^{10111291178272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111291178272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10569681420480).

10111291178272 is an abundant number, since it is smaller than the sum of its proper divisors (11028071662688).

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

10111291178272 is a wasteful number, since it uses less digits than its factorization.

10111291178272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17594 (or 17586 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 43.

The spelling of 10111291178272 in words is "ten trillion, one hundred eleven billion, two hundred ninety-one million, one hundred seventy-eight thousand, two hundred seventy-two".