11252564064 has 168 divisors, whose sum is σ = 37960589520. Its totient is φ = 3214971648.

The previous prime is 11252564053. The next prime is 11252564077. The reversal of 11252564064 is 46046525211.

11252564064 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 2 + 5 + 640 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 128842 + ... + 197750.

It is an arithmetic number, because the mean of its divisors is an integer number (225955890).

Almost surely, 2^11252564064 is an apocalyptic number.

11252564064 is a gapful number since it is divisible by the number (14) 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 11252564064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18980294760).

11252564064 is an abundant number, since it is smaller than the sum of its proper divisors (26708025456).

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

11252564064 is an frugal number, since it uses more digits than its factorization.

11252564064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68944 (or 68921 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 11252564064 in words is "eleven billion, two hundred fifty-two million, five hundred sixty-four thousand, sixty-four".