11942445600 has 720 divisors, whose sum is σ = 47521599048. Its totient is φ = 2906357760.

The previous prime is 11942445577. The next prime is 11942445629. The reversal of 11942445600 is 654424911.

11942445600 is a `hidden beast` number, since 1 + 1 + 9 + 4 + 2 + 4 + 45 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 7347232656 + 4595212944 = 85716^2 + 67788^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 40759054 + ... + 40759346.

Almost surely, 2^11942445600 is an apocalyptic number.

11942445600 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 11942445600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23760799524).

11942445600 is an abundant number, since it is smaller than the sum of its proper divisors (35579153448).

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

11942445600 is a wasteful number, since it uses less digits than its factorization.

11942445600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 11942445600 in words is "eleven billion, nine hundred forty-two million, four hundred forty-five thousand, six hundred".