11891882520 has 288 divisors, whose sum is σ = 45082973520. Its totient is φ = 2710632960.

The previous prime is 11891882479. The next prime is 11891882521. The reversal of 11891882520 is 2528819811.

11891882520 is a `hidden beast` number, since 118 + 9 + 1 + 8 + 8 + 2 + 520 = 666.

11891882520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11891882521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8660554 + ... + 8661926.

Almost surely, 2^11891882520 is an apocalyptic number.

11891882520 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 11891882520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22541486760).

11891882520 is an abundant number, since it is smaller than the sum of its proper divisors (33191091000).

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

11891882520 is a wasteful number, since it uses less digits than its factorization.

11891882520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 45.

The spelling of 11891882520 in words is "eleven billion, eight hundred ninety-one million, eight hundred eighty-two thousand, five hundred twenty".