11787489600 has 336 divisors, whose sum is σ = 41018374656. Its totient is φ = 2958336000.

The previous prime is 11787489599. The next prime is 11787489661. The reversal of 11787489600 is 698478711.

It is a super-2 number, since 2×11787489600² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5504530 + ... + 5506670.

It is an arithmetic number, because the mean of its divisors is an integer number (122078496).

Almost surely, 2^11787489600 is an apocalyptic number.

11787489600 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 11787489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20509187328).

11787489600 is an abundant number, since it is smaller than the sum of its proper divisors (29230885056).

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

11787489600 is a wasteful number, since it uses less digits than its factorization.

11787489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 51.

The spelling of 11787489600 in words is "eleven billion, seven hundred eighty-seven million, four hundred eighty-nine thousand, six hundred".