21936003408 has 120 divisors (see below), whose sum is σ = 67014773280. Its totient is φ = 6642958080.

The previous prime is 21936003407. The next prime is 21936003469. The reversal of 21936003408 is 80430063912.

21936003408 is a `hidden beast` number, since 2 + 1 + 9 + 3 + 600 + 3 + 40 + 8 = 666.

It is a super-2 number, since 2×21936003408² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21936003407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3121723 + ... + 3128741.

It is an arithmetic number, because the mean of its divisors is an integer number (558456444).

Almost surely, 2^21936003408 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 21936003408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33507386640).

21936003408 is an abundant number, since it is smaller than the sum of its proper divisors (45078769872).

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

21936003408 is a wasteful number, since it uses less digits than its factorization.

21936003408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9017 (or 9008 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 21936003408 in words is "twenty-one billion, nine hundred thirty-six million, three thousand, four hundred eight".