11015921664 has 504 divisors, whose sum is σ = 37661502528. Its totient is φ = 3074949120.

The previous prime is 11015921659. The next prime is 11015921699. The reversal of 11015921664 is 46612951011.

11015921664 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 592 + 1 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 234381289 + ... + 234381335.

Almost surely, 2^11015921664 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 11015921664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18830751264).

11015921664 is an abundant number, since it is smaller than the sum of its proper divisors (26645580864).

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

11015921664 is a wasteful number, since it uses less digits than its factorization.

11015921664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 11015921664 in words is "eleven billion, fifteen million, nine hundred twenty-one thousand, six hundred sixty-four".