21955266432 has 320 divisors, whose sum is σ = 71623094400. Its totient is φ = 6621004800.

The previous prime is 21955266427. The next prime is 21955266439. The reversal of 21955266432 is 23466255912.

21955266432 is a `hidden beast` number, since 2 + 1 + 9 + 552 + 6 + 64 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21955266439) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35468619 + ... + 35469237.

It is an arithmetic number, because the mean of its divisors is an integer number (223822170).

Almost surely, 2^21955266432 is an apocalyptic number.

21955266432 is a gapful number since it is divisible by the number (22) 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 21955266432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35811547200).

21955266432 is an abundant number, since it is smaller than the sum of its proper divisors (49667827968).

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

21955266432 is a wasteful number, since it uses less digits than its factorization.

21955266432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 946 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 21955266432 in words is "twenty-one billion, nine hundred fifty-five million, two hundred sixty-six thousand, four hundred thirty-two".