11958284800 has 360 divisors, whose sum is σ = 37251865728. Its totient is φ = 3723878400.

The previous prime is 11958284791. The next prime is 11958284831. The reversal of 11958284800 is 848285911.

It is a happy number.

It is a super-2 number, since 2×11958284800² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10841049 + ... + 10842151.

Almost surely, 2^11958284800 is an apocalyptic number.

11958284800 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 11958284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18625932864).

11958284800 is an abundant number, since it is smaller than the sum of its proper divisors (25293580928).

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

11958284800 is a wasteful number, since it uses less digits than its factorization.

11958284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 46.

The spelling of 11958284800 in words is "eleven billion, nine hundred fifty-eight million, two hundred eighty-four thousand, eight hundred".