11216527920 has 320 divisors, whose sum is σ = 44055930240. Its totient is φ = 2598469632.

The previous prime is 11216527879. The next prime is 11216527997. The reversal of 11216527920 is 2972561211.

11216527920 is a `hidden beast` number, since 1 + 121 + 6 + 527 + 9 + 2 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 465612 + ... + 489108.

It is an arithmetic number, because the mean of its divisors is an integer number (137674782).

Almost surely, 2^11216527920 is an apocalyptic number.

11216527920 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 11216527920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22027965120).

11216527920 is an abundant number, since it is smaller than the sum of its proper divisors (32839402320).

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

11216527920 is a wasteful number, since it uses less digits than its factorization.

11216527920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23549 (or 23537 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 11216527920 in words is "eleven billion, two hundred sixteen million, five hundred twenty-seven thousand, nine hundred twenty".