11778412800 has 864 divisors, whose sum is σ = 50220785664. Its totient is φ = 2359296000.

The previous prime is 11778412783. The next prime is 11778412817. The reversal of 11778412800 is 821487711.

It is an interprime number because it is at equal distance from previous prime (11778412783) and next prime (11778412817).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45830272 + ... + 45830528.

Almost surely, 2^11778412800 is an apocalyptic number.

11778412800 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 11778412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25110392832).

11778412800 is an abundant number, since it is smaller than the sum of its proper divisors (38442372864).

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

11778412800 is a wasteful number, since it uses less digits than its factorization.

11778412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 39.

The spelling of 11778412800 in words is "eleven billion, seven hundred seventy-eight million, four hundred twelve thousand, eight hundred".