11748602880 has 1056 divisors, whose sum is σ = 51501864960. Its totient is φ = 2508226560.

The previous prime is 11748602869. The next prime is 11748602927. The reversal of 11748602880 is 8820684711.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 165473245 + ... + 165473315.

Almost surely, 2^11748602880 is an apocalyptic number.

11748602880 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 11748602880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25750932480).

11748602880 is an abundant number, since it is smaller than the sum of its proper divisors (39753262080).

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

11748602880 is an equidigital number, since it uses as much as digits as its factorization.

11748602880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 11748602880 in words is "eleven billion, seven hundred forty-eight million, six hundred two thousand, eight hundred eighty".