11895225840000 has 800 divisors, whose sum is σ = 44308060163400. Its totient is φ = 3166884864000.

The previous prime is 11895225839977. The next prime is 11895225840007. The reversal of 11895225840000 is 4852259811.

11895225840000 is a `hidden beast` number, since 1 + 1 + 89 + 522 + 5 + 8 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (11895225840007) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 5566318932 + ... + 5566321068.

Almost surely, 2^{11895225840000} is an apocalyptic number.

11895225840000 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 11895225840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22154030081700).

11895225840000 is an abundant number, since it is smaller than the sum of its proper divisors (32412834323400).

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

11895225840000 is an frugal number, since it uses more digits than its factorization.

11895225840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3042 (or 3006 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 11895225840000 in words is "eleven trillion, eight hundred ninety-five billion, two hundred twenty-five million, eight hundred forty thousand".