11851922500992 has 1152 divisors, whose sum is σ = 43218404349120. Its totient is φ = 3099672576000.

The previous prime is 11851922500963. The next prime is 11851922500993. The reversal of 11851922500992 is 29900522915811.

11851922500992 is a `hidden beast` number, since 1 + 18 + 5 + 19 + 22 + 500 + 9 + 92 = 666.

11851922500992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11851922500993) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2821212492 + ... + 2821216692.

Almost surely, 2^{11851922500992} is an apocalyptic number.

11851922500992 is a gapful number since it is divisible by the number (12) 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 11851922500992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21609202174560).

11851922500992 is an abundant number, since it is smaller than the sum of its proper divisors (31366481848128).

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

11851922500992 is a wasteful number, since it uses less digits than its factorization.

11851922500992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4352 (or 4330 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 54.

The spelling of 11851922500992 in words is "eleven trillion, eight hundred fifty-one billion, nine hundred twenty-two million, five hundred thousand, nine hundred ninety-two".