10991167600 has 120 divisors (see below), whose sum is σ = 30456319520. Its totient is φ = 3733724160.

The previous prime is 10991167553. The next prime is 10991167631. The reversal of 10991167600 is 676119901.

It is a super-2 number, since 2×10991167600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287194 + ... + 323206.

Almost surely, 2^10991167600 is an apocalyptic number.

10991167600 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 10991167600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15228159760).

10991167600 is an abundant number, since it is smaller than the sum of its proper divisors (19465151920).

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

10991167600 is a wasteful number, since it uses less digits than its factorization.

10991167600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36147 (or 36136 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 40.

The spelling of 10991167600 in words is "ten billion, nine hundred ninety-one million, one hundred sixty-seven thousand, six hundred".