11531202768 has 300 divisors, whose sum is σ = 35158573120. Its totient is φ = 3647255040.

The previous prime is 11531202751. The next prime is 11531202791. The reversal of 11531202768 is 86720213511.

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 59 ways as a sum of consecutive naturals, for example, 145964553 + ... + 145964631.

Almost surely, 2^11531202768 is an apocalyptic number.

11531202768 is a gapful number since it is divisible by the number (18) 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 11531202768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17579286560).

11531202768 is an abundant number, since it is smaller than the sum of its proper divisors (23627370352).

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

11531202768 is an equidigital number, since it uses as much as digits as its factorization.

11531202768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 11531202768 in words is "eleven billion, five hundred thirty-one million, two hundred two thousand, seven hundred sixty-eight".