11949396480 has 320 divisors, whose sum is σ = 48510823680. Its totient is φ = 2731180032.

The previous prime is 11949396479. The next prime is 11949396523. The reversal of 11949396480 is 8469394911.

It is a happy number.

11949396480 is a `hidden beast` number, since 1 + 19 + 493 + 9 + 64 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 471492 + ... + 496188.

It is an arithmetic number, because the mean of its divisors is an integer number (151596324).

Almost surely, 2^11949396480 is an apocalyptic number.

11949396480 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 11949396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24255411840).

11949396480 is an abundant number, since it is smaller than the sum of its proper divisors (36561427200).

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

11949396480 is an equidigital number, since it uses as much as digits as its factorization.

11949396480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24736 (or 24714 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 11949396480 in words is "eleven billion, nine hundred forty-nine million, three hundred ninety-six thousand, four hundred eighty".