11840590080 has 864 divisors, whose sum is σ = 47730114432. Its totient is φ = 2683699200.

The previous prime is 11840590063. The next prime is 11840590087. The reversal of 11840590080 is 8009504811.

It is a super-3 number, since 3×11840590080³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11840590087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 223407334 + ... + 223407386.

It is an arithmetic number, because the mean of its divisors is an integer number (55243188).

Almost surely, 2^11840590080 is an apocalyptic number.

11840590080 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 11840590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23865057216).

11840590080 is an abundant number, since it is smaller than the sum of its proper divisors (35889524352).

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

11840590080 is a wasteful number, since it uses less digits than its factorization.

11840590080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 11840590080 in words is "eleven billion, eight hundred forty million, five hundred ninety thousand, eighty".