21080833461432 has 576 divisors, whose sum is σ = 61876154340000. Its totient is φ = 6480158091264.

The previous prime is 21080833461287. The next prime is 21080833461433. The reversal of 21080833461432 is 23416433808012.

21080833461432 is a `hidden beast` number, since 2 + 1 + 0 + 80 + 83 + 3 + 4 + 61 + 432 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21080833461433) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32785121703 + ... + 32785122345.

Almost surely, 2^{21080833461432} 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 21080833461432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30938077170000).

21080833461432 is an abundant number, since it is smaller than the sum of its proper divisors (40795320878568).

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

21080833461432 is a wasteful number, since it uses less digits than its factorization.

21080833461432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 21080833461432 in words is "twenty-one trillion, eighty billion, eight hundred thirty-three million, four hundred sixty-one thousand, four hundred thirty-two".