11976490400 has 288 divisors, whose sum is σ = 36317675520. Its totient is φ = 3763584000.

The previous prime is 11976490399. The next prime is 11976490423. The reversal of 11976490400 is 409467911.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3296585 + ... + 3300215.

It is an arithmetic number, because the mean of its divisors is an integer number (126103040).

Almost surely, 2^11976490400 is an apocalyptic number.

11976490400 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 11976490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18158837760).

11976490400 is an abundant number, since it is smaller than the sum of its proper divisors (24341185120).

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

11976490400 is a wasteful number, since it uses less digits than its factorization.

11976490400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3708 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The spelling of 11976490400 in words is "eleven billion, nine hundred seventy-six million, four hundred ninety thousand, four hundred".