11207991600 has 240 divisors, whose sum is σ = 42961312800. Its totient is φ = 2758855680.

The previous prime is 11207991593. The next prime is 11207991611. The reversal of 11207991600 is 619970211.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 100486 + ... + 180314.

It is an arithmetic number, because the mean of its divisors is an integer number (179005470).

Almost surely, 2^11207991600 is an apocalyptic number.

11207991600 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 11207991600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21480656400).

11207991600 is an abundant number, since it is smaller than the sum of its proper divisors (31753321200).

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

11207991600 is a wasteful number, since it uses less digits than its factorization.

11207991600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79869 (or 79852 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The spelling of 11207991600 in words is "eleven billion, two hundred seven million, nine hundred ninety-one thousand, six hundred".