11982654000 has 800 divisors, whose sum is σ = 48450916800. Its totient is φ = 2836684800.

The previous prime is 11982653989. The next prime is 11982654023. The reversal of 11982654000 is 45628911.

11982654000 is a `hidden beast` number, since 1 + 1 + 98 + 26 + 540 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 52325886 + ... + 52326114.

It is an arithmetic number, because the mean of its divisors is an integer number (60563646).

Almost surely, 2^11982654000 is an apocalyptic number.

11982654000 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 11982654000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24225458400).

11982654000 is an abundant number, since it is smaller than the sum of its proper divisors (36468262800).

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

11982654000 is a wasteful number, since it uses less digits than its factorization.

11982654000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 11982654000 in words is "eleven billion, nine hundred eighty-two million, six hundred fifty-four thousand".