11890897200 has 1200 divisors, whose sum is σ = 54438112960. Its totient is φ = 2418647040.

The previous prime is 11890897177. The next prime is 11890897223. The reversal of 11890897200 is 279809811.

It is an interprime number because it is at equal distance from previous prime (11890897177) and next prime (11890897223).

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 109090746 + ... + 109090854.

Almost surely, 2^11890897200 is an apocalyptic number.

11890897200 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 11890897200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27219056480).

11890897200 is an abundant number, since it is smaller than the sum of its proper divisors (42547215760).

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

11890897200 is a wasteful number, since it uses less digits than its factorization.

11890897200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 11890897200 in words is "eleven billion, eight hundred ninety million, eight hundred ninety-seven thousand, two hundred".