11531125760 has 264 divisors, whose sum is σ = 34761007680. Its totient is φ = 3592765440.

The previous prime is 11531125751. The next prime is 11531125799. The reversal of 11531125760 is 6752113511.

It is a super-2 number, since 2×11531125760² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 23 ways as a sum of consecutive naturals, for example, 4335311 + ... + 4337969.

Almost surely, 2^11531125760 is an apocalyptic number.

11531125760 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 11531125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17380503840).

11531125760 is an abundant number, since it is smaller than the sum of its proper divisors (23229881920).

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

11531125760 is a wasteful number, since it uses less digits than its factorization.

11531125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 32.

The spelling of 11531125760 in words is "eleven billion, five hundred thirty-one million, one hundred twenty-five thousand, seven hundred sixty".