11722779600 has 480 divisors, whose sum is σ = 46128000000. Its totient is φ = 2536773120.

The previous prime is 11722779589. The next prime is 11722779659. The reversal of 11722779600 is 697722711.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7819651 + ... + 7821149.

It is an arithmetic number, because the mean of its divisors is an integer number (96100000).

Almost surely, 2^11722779600 is an apocalyptic number.

11722779600 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 11722779600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23064000000).

11722779600 is an abundant number, since it is smaller than the sum of its proper divisors (34405220400).

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

11722779600 is a wasteful number, since it uses less digits than its factorization.

11722779600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 42.

The spelling of 11722779600 in words is "eleven billion, seven hundred twenty-two million, seven hundred seventy-nine thousand, six hundred".