11862375829920 has 3072 divisors, whose sum is σ = 54890355179520. Its totient is φ = 2350924922880.

The previous prime is 11862375829877. The next prime is 11862375829939. The reversal of 11862375829920 is 2992857326811.

11862375829920 is a `hidden beast` number, since 1 + 1 + 8 + 6 + 23 + 7 + 582 + 9 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 72775311759 + ... + 72775311921.

It is an arithmetic number, because the mean of its divisors is an integer number (17867954160).

Almost surely, 2^{11862375829920} is an apocalyptic number.

11862375829920 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 11862375829920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27445177589760).

11862375829920 is an abundant number, since it is smaller than the sum of its proper divisors (43027979349600).

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

11862375829920 is a wasteful number, since it uses less digits than its factorization.

11862375829920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 11862375829920 in words is "eleven trillion, eight hundred sixty-two billion, three hundred seventy-five million, eight hundred twenty-nine thousand, nine hundred twenty".