10691149824 has 360 divisors, whose sum is σ = 34256847240. Its totient is φ = 3312451584.

The previous prime is 10691149801. The next prime is 10691149837. The reversal of 10691149824 is 42894119601.

It is a happy number.

It is a super-2 number, since 2×10691149824² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10691149824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 201719782 + ... + 201719834.

It is an arithmetic number, because the mean of its divisors is an integer number (95157909).

Almost surely, 2^10691149824 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 10691149824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17128423620).

10691149824 is an abundant number, since it is smaller than the sum of its proper divisors (23565697416).

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

10691149824 is an frugal number, since it uses more digits than its factorization.

10691149824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 10691149824 in words is "ten billion, six hundred ninety-one million, one hundred forty-nine thousand, eight hundred twenty-four".