11987481600 has 792 divisors, whose sum is σ = 46566269568. Its totient is φ = 3052339200.

The previous prime is 11987481589. The next prime is 11987481601. The reversal of 11987481600 is 618478911.

It is a happy number.

It is a super-2 number, since 2×11987481600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11987481601) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 255052777 + ... + 255052823.

Almost surely, 2^11987481600 is an apocalyptic number.

11987481600 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 11987481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23283134784).

11987481600 is an abundant number, since it is smaller than the sum of its proper divisors (34578787968).

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

11987481600 is an equidigital number, since it uses as much as digits as its factorization.

11987481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 11987481600 in words is "eleven billion, nine hundred eighty-seven million, four hundred eighty-one thousand, six hundred".