11949290080 has 192 divisors, whose sum is σ = 34875888768. Its totient is φ = 3767500800.

The previous prime is 11949290063. The next prime is 11949290137. The reversal of 11949290080 is 8009294911.

It is a happy number.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4264680 + ... + 4267480.

It is an arithmetic number, because the mean of its divisors is an integer number (181645254).

Almost surely, 2^11949290080 is an apocalyptic number.

11949290080 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 11949290080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17437944384).

11949290080 is an abundant number, since it is smaller than the sum of its proper divisors (22926598688).

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

11949290080 is a wasteful number, since it uses less digits than its factorization.

11949290080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3129 (or 3121 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 43.

The spelling of 11949290080 in words is "eleven billion, nine hundred forty-nine million, two hundred ninety thousand, eighty".