11967446400 has 1152 divisors, whose sum is σ = 52484140800. Its totient is φ = 2368880640.

The previous prime is 11967446399. The next prime is 11967446431. The reversal of 11967446400 is 464476911.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 116188749 + ... + 116188851.

It is an arithmetic number, because the mean of its divisors is an integer number (45559150).

Almost surely, 2^11967446400 is an apocalyptic number.

11967446400 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 11967446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26242070400).

11967446400 is an abundant number, since it is smaller than the sum of its proper divisors (40516694400).

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

11967446400 is a wasteful number, since it uses less digits than its factorization.

11967446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 11967446400 in words is "eleven billion, nine hundred sixty-seven million, four hundred forty-six thousand, four hundred".