11199625920 has 448 divisors, whose sum is σ = 45383500800. Its totient is φ = 2546933760.

The previous prime is 11199625919. The next prime is 11199625973. The reversal of 11199625920 is 2952699111.

11199625920 is a `hidden beast` number, since 1 + 1 + 19 + 9 + 625 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 16994551 + ... + 16995209.

Almost surely, 2^11199625920 is an apocalyptic number.

11199625920 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 11199625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22691750400).

11199625920 is an abundant number, since it is smaller than the sum of its proper divisors (34183874880).

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

11199625920 is a wasteful number, since it uses less digits than its factorization.

11199625920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The spelling of 11199625920 in words is "eleven billion, one hundred ninety-nine million, six hundred twenty-five thousand, nine hundred twenty".