21695504400 has 480 divisors, whose sum is σ = 81214801920. Its totient is φ = 5490270720.

The previous prime is 21695504393. The next prime is 21695504401. The reversal of 21695504400 is 440559612.

21695504400 is a `hidden beast` number, since 2 + 1 + 69 + 550 + 4 + 40 + 0 = 666.

It is a super-2 number, since 2×21695504400² (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 not an unprimeable number, because it can be changed into a prime (21695504401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41482539 + ... + 41483061.

It is an arithmetic number, because the mean of its divisors is an integer number (169197504).

Almost surely, 2^21695504400 is an apocalyptic number.

21695504400 is a gapful number since it is divisible by the number (20) 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 21695504400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40607400960).

21695504400 is an abundant number, since it is smaller than the sum of its proper divisors (59519297520).

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

21695504400 is a wasteful number, since it uses less digits than its factorization.

21695504400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 21695504400 in words is "twenty-one billion, six hundred ninety-five million, five hundred four thousand, four hundred".