11887245720 has 320 divisors, whose sum is σ = 46032814080. Its totient is φ = 2695037184.

The previous prime is 11887245691. The next prime is 11887245731. The reversal of 11887245720 is 2754278811.

11887245720 is a `hidden beast` number, since 1 + 1 + 8 + 8 + 72 + 4 + 572 + 0 = 666.

It is a super-2 number, since 2×11887245720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2878297 + ... + 2882423.

It is an arithmetic number, because the mean of its divisors is an integer number (143852544).

Almost surely, 2^11887245720 is an apocalyptic number.

11887245720 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 11887245720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23016407040).

11887245720 is an abundant number, since it is smaller than the sum of its proper divisors (34145568360).

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

11887245720 is a wasteful number, since it uses less digits than its factorization.

11887245720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4284 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 11887245720 in words is "eleven billion, eight hundred eighty-seven million, two hundred forty-five thousand, seven hundred twenty".