11149762560 has 224 divisors, whose sum is σ = 36840517632. Its totient is φ = 2876375040.

The previous prime is 11149762531. The next prime is 11149762583. The reversal of 11149762560 is 6526794111.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3807817 + ... + 3810743.

Almost surely, 2^11149762560 is an apocalyptic number.

11149762560 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 11149762560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18420258816).

11149762560 is an abundant number, since it is smaller than the sum of its proper divisors (25690755072).

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

11149762560 is an equidigital number, since it uses as much as digits as its factorization.

11149762560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 11149762560 in words is "eleven billion, one hundred forty-nine million, seven hundred sixty-two thousand, five hundred sixty".