11726162100 has 288 divisors, whose sum is σ = 39113746560. Its totient is φ = 3011281920.

The previous prime is 11726162089. The next prime is 11726162183. The reversal of 11726162100 is 126162711.

It is a happy number.

11726162100 is a `hidden beast` number, since 1 + 17 + 26 + 1 + 621 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 10688752 + ... + 10689848.

It is an arithmetic number, because the mean of its divisors is an integer number (135811620).

Almost surely, 2^11726162100 is an apocalyptic number.

11726162100 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 11726162100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19556873280).

11726162100 is an abundant number, since it is smaller than the sum of its proper divisors (27387584460).

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

11726162100 is a wasteful number, since it uses less digits than its factorization.

11726162100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 11726162100 in words is "eleven billion, seven hundred twenty-six million, one hundred sixty-two thousand, one hundred".