10983672000 has 1344 divisors, whose sum is σ = 50110095360. Its totient is φ = 2239488000.

The previous prime is 10983671987. The next prime is 10983672023. The reversal of 10983672000 is 27638901.

10983672000 is a `hidden beast` number, since 1 + 0 + 98 + 367 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 296855982 + ... + 296856018.

Almost surely, 2^10983672000 is an apocalyptic number.

10983672000 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 10983672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25055047680).

10983672000 is an abundant number, since it is smaller than the sum of its proper divisors (39126423360).

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

10983672000 is a wasteful number, since it uses less digits than its factorization.

10983672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 10983672000 in words is "ten billion, nine hundred eighty-three million, six hundred seventy-two thousand".