21386800433232 has 480 divisors, whose sum is σ = 66964239014400. Its totient is φ = 6326639198208.

The previous prime is 21386800433231. The next prime is 21386800433249. The reversal of 21386800433232 is 23233400868312.

21386800433232 is a `hidden beast` number, since 2 + 1 + 386 + 8 + 0 + 0 + 4 + 33 + 232 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21386800433231) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19389664393 + ... + 19389665495.

It is an arithmetic number, because the mean of its divisors is an integer number (139508831280).

Almost surely, 2^{21386800433232} 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 21386800433232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33482119507200).

21386800433232 is an abundant number, since it is smaller than the sum of its proper divisors (45577438581168).

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

21386800433232 is a wasteful number, since it uses less digits than its factorization.

21386800433232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 21386800433232 in words is "twenty-one trillion, three hundred eighty-six billion, eight hundred million, four hundred thirty-three thousand, two hundred thirty-two".