11949076043280 has 960 divisors, whose sum is σ = 44883007303680. Its totient is φ = 2835050803200.

The previous prime is 11949076043273. The next prime is 11949076043287. The reversal of 11949076043280 is 8234067094911.

11949076043280 is a `hidden beast` number, since 1 + 1 + 9 + 4 + 9 + 0 + 7 + 604 + 3 + 28 + 0 = 666.

11949076043280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11949076043273) and next prime (11949076043287).

It is not an unprimeable number, because it can be changed into a prime (11949076043287) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6188023915 + ... + 6188025845.

It is an arithmetic number, because the mean of its divisors is an integer number (46753132608).

Almost surely, 2^{11949076043280} is an apocalyptic number.

11949076043280 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 11949076043280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22441503651840).

11949076043280 is an abundant number, since it is smaller than the sum of its proper divisors (32933931260400).

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

11949076043280 is a wasteful number, since it uses less digits than its factorization.

11949076043280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 11949076043280 in words is "eleven trillion, nine hundred forty-nine billion, seventy-six million, forty-three thousand, two hundred eighty".