10111917163320 has 384 divisors, whose sum is σ = 37710167040000. Its totient is φ = 2301980912640.

The previous prime is 10111917163319. The next prime is 10111917163391. The reversal of 10111917163320 is 2336171911101.

10111917163320 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 1 + 9 + 17 + 1 + 633 + 2 + 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 808235865 + ... + 808248375.

It is an arithmetic number, because the mean of its divisors is an integer number (98203560000).

Almost surely, 2^{10111917163320} is an apocalyptic number.

10111917163320 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 10111917163320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18855083520000).

10111917163320 is an abundant number, since it is smaller than the sum of its proper divisors (27598249876680).

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

10111917163320 is a wasteful number, since it uses less digits than its factorization.

10111917163320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13803 (or 13796 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The spelling of 10111917163320 in words is "ten trillion, one hundred eleven billion, nine hundred seventeen million, one hundred sixty-three thousand, three hundred twenty".