11571361920 has 640 divisors, whose sum is σ = 43986888000. Its totient is φ = 2893750272.

The previous prime is 11571361897. The next prime is 11571361937. The reversal of 11571361920 is 2916317511.

It is a happy number.

11571361920 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 13 + 619 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 64644391 + ... + 64644569.

Almost surely, 2^11571361920 is an apocalyptic number.

11571361920 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 11571361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21993444000).

11571361920 is an abundant number, since it is smaller than the sum of its proper divisors (32415526080).

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

11571361920 is a wasteful number, since it uses less digits than its factorization.

11571361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 11571361920 in words is "eleven billion, five hundred seventy-one million, three hundred sixty-one thousand, nine hundred twenty".