11540968920 has 192 divisors, whose sum is σ = 41696928000. Its totient is φ = 2749178880.

The previous prime is 11540968909. The next prime is 11540968969. The reversal of 11540968920 is 2986904511.

11540968920 is a `hidden beast` number, since 1 + 1 + 540 + 9 + 6 + 89 + 20 = 666.

It is a super-2 number, since 2×11540968920² (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 47 ways as a sum of consecutive naturals, for example, 105306 + ... + 184854.

It is an arithmetic number, because the mean of its divisors is an integer number (217171500).

Almost surely, 2^11540968920 is an apocalyptic number.

11540968920 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 11540968920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20848464000).

11540968920 is an abundant number, since it is smaller than the sum of its proper divisors (30155959080).

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

11540968920 is a wasteful number, since it uses less digits than its factorization.

11540968920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79610 (or 79603 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 11540968920 in words is "eleven billion, five hundred forty million, nine hundred sixty-eight thousand, nine hundred twenty".