11210825664 has 168 divisors, whose sum is σ = 33892784640. Its totient is φ = 3533179392.

The previous prime is 11210825657. The next prime is 11210825677. The reversal of 11210825664 is 46652801211.

It is a happy number.

11210825664 is a `hidden beast` number, since 1 + 1 + 2 + 10 + 82 + 566 + 4 = 666.

It is a super-2 number, since 2×11210825664² (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 9444079 + ... + 9445265.

Almost surely, 2^11210825664 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 11210825664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16946392320).

11210825664 is an abundant number, since it is smaller than the sum of its proper divisors (22681958976).

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

11210825664 is a wasteful number, since it uses less digits than its factorization.

11210825664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 11210825664 in words is "eleven billion, two hundred ten million, eight hundred twenty-five thousand, six hundred sixty-four".