11892523991040 has 3060 divisors, whose sum is σ = 55989938806032. Its totient is φ = 2363731476480.

The previous prime is 11892523991021. The next prime is 11892523991071. The reversal of 11892523991040 is 4019932529811.

It is a happy number.

11892523991040 is a `hidden beast` number, since 1 + 1 + 8 + 9 + 2 + 523 + 9 + 9 + 104 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 517066260469 + ... + 517066260491.

Almost surely, 2^{11892523991040} is an apocalyptic number.

11892523991040 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 11892523991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27994969403016).

11892523991040 is an abundant number, since it is smaller than the sum of its proper divisors (44097414814992).

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

11892523991040 is an frugal number, since it uses more digits than its factorization.

11892523991040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 11892523991040 in words is "eleven trillion, eight hundred ninety-two billion, five hundred twenty-three million, nine hundred ninety-one thousand, forty".