11982070872576 has 600 divisors, whose sum is σ = 41837376444864. Its totient is φ = 3423363471360.

The previous prime is 11982070872559. The next prime is 11982070872631. The reversal of 11982070872576 is 67527807028911.

11982070872576 is a `hidden beast` number, since 11 + 98 + 207 + 0 + 87 + 257 + 6 = 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 59 ways as a sum of consecutive naturals, for example, 298702761 + ... + 298742871.

Almost surely, 2^{11982070872576} is an apocalyptic number.

11982070872576 is a gapful number since it is divisible by the number (16) 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 11982070872576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20918688222432).

11982070872576 is an abundant number, since it is smaller than the sum of its proper divisors (29855305572288).

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

11982070872576 is an frugal number, since it uses more digits than its factorization.

11982070872576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40172 (or 40123 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 63.

The spelling of 11982070872576 in words is "eleven trillion, nine hundred eighty-two billion, seventy million, eight hundred seventy-two thousand, five hundred seventy-six".