11727290880 has 480 divisors, whose sum is σ = 43663276800. Its totient is φ = 2898395136.

The previous prime is 11727290851. The next prime is 11727290909. The reversal of 11727290880 is 8809272711.

It is an interprime number because it is at equal distance from previous prime (11727290851) and next prime (11727290909).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30942531 + ... + 30942909.

It is an arithmetic number, because the mean of its divisors is an integer number (90965160).

Almost surely, 2^11727290880 is an apocalyptic number.

11727290880 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 11727290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21831638400).

11727290880 is an abundant number, since it is smaller than the sum of its proper divisors (31935985920).

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

11727290880 is a wasteful number, since it uses less digits than its factorization.

11727290880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 11727290880 in words is "eleven billion, seven hundred twenty-seven million, two hundred ninety thousand, eight hundred eighty".