11681092080 has 640 divisors, whose sum is σ = 49153996800. Its totient is φ = 2490310656.

The previous prime is 11681092063. The next prime is 11681092097. The reversal of 11681092080 is 8029018611.

It is an interprime number because it is at equal distance from previous prime (11681092063) and next prime (11681092097).

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 127 ways as a sum of consecutive naturals, for example, 20971162 + ... + 20971718.

It is an arithmetic number, because the mean of its divisors is an integer number (76803120).

Almost surely, 2^11681092080 is an apocalyptic number.

11681092080 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 11681092080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24576998400).

11681092080 is an abundant number, since it is smaller than the sum of its proper divisors (37472904720).

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

11681092080 is a wasteful number, since it uses less digits than its factorization.

11681092080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 11681092080 in words is "eleven billion, six hundred eighty-one million, ninety-two thousand, eighty".