20983119606432 has 192 divisors, whose sum is σ = 64545062400000. Its totient is φ = 6613575899904.

The previous prime is 20983119606419. The next prime is 20983119606439. The reversal of 20983119606432 is 23460691138902.

20983119606432 is a `hidden beast` number, since 2 + 0 + 98 + 3 + 119 + 6 + 0 + 6 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (20983119606439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7363569 + ... + 9807567.

It is an arithmetic number, because the mean of its divisors is an integer number (336172200000).

Almost surely, 2^{20983119606432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20983119606432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32272531200000).

20983119606432 is an abundant number, since it is smaller than the sum of its proper divisors (43561942793568).

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

20983119606432 is a wasteful number, since it uses less digits than its factorization.

20983119606432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444560 (or 2444546 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 20983119606432 in words is "twenty trillion, nine hundred eighty-three billion, one hundred nineteen million, six hundred six thousand, four hundred thirty-two".