11897085600 has 432 divisors, whose sum is σ = 45809880480. Its totient is φ = 3004646400.

The previous prime is 11897085569. The next prime is 11897085601. The reversal of 11897085600 is 658079811.

11897085600 is a `hidden beast` number, since 1 + 1 + 89 + 7 + 0 + 8 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (11897085601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3691990 + ... + 3695210.

It is an arithmetic number, because the mean of its divisors is an integer number (106041390).

Almost surely, 2^11897085600 is an apocalyptic number.

11897085600 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 11897085600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22904940240).

11897085600 is an abundant number, since it is smaller than the sum of its proper divisors (33912794880).

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

11897085600 is a wasteful number, since it uses less digits than its factorization.

11897085600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3275 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 11897085600 in words is "eleven billion, eight hundred ninety-seven million, eighty-five thousand, six hundred".