11971276800 has 624 divisors, whose sum is σ = 47777775360. Its totient is φ = 2583429120.

The previous prime is 11971276783. The next prime is 11971276817. The reversal of 11971276800 is 867217911.

It is an interprime number because it is at equal distance from previous prime (11971276783) and next prime (11971276817).

It is a super-2 number, since 2×11971276800² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40857454 + ... + 40857746.

Almost surely, 2^11971276800 is an apocalyptic number.

11971276800 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 11971276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23888887680).

11971276800 is an abundant number, since it is smaller than the sum of its proper divisors (35806498560).

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

11971276800 is a wasteful number, since it uses less digits than its factorization.

11971276800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 42.

The spelling of 11971276800 in words is "eleven billion, nine hundred seventy-one million, two hundred seventy-six thousand, eight hundred".