11315525760 has 768 divisors, whose sum is σ = 50348113920. Its totient is φ = 2272665600.

The previous prime is 11315525759. The next prime is 11315525779. The reversal of 11315525760 is 6752551311.

It is a happy number.

11315525760 is a `hidden beast` number, since 1 + 1 + 31 + 5 + 52 + 576 + 0 = 666.

It is a super-2 number, since 2×11315525760² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 95 ways as a sum of consecutive naturals, for example, 13748709 + ... + 13749531.

It is an arithmetic number, because the mean of its divisors is an integer number (65557440).

Almost surely, 2^11315525760 is an apocalyptic number.

11315525760 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 11315525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25174056960).

11315525760 is an abundant number, since it is smaller than the sum of its proper divisors (39032588160).

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

11315525760 is a wasteful number, since it uses less digits than its factorization.

11315525760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The spelling of 11315525760 in words is "eleven billion, three hundred fifteen million, five hundred twenty-five thousand, seven hundred sixty".