21704121600 has 432 divisors, whose sum is σ = 82436057088. Its totient is φ = 4926136320.

The previous prime is 21704121589. The next prime is 21704121611. The reversal of 21704121600 is 612140712.

It is an interprime number because it is at equal distance from previous prime (21704121589) and next prime (21704121611).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22444317 + ... + 22445283.

Almost surely, 2^21704121600 is an apocalyptic number.

21704121600 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 21704121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41218028544).

21704121600 is an abundant number, since it is smaller than the sum of its proper divisors (60731935488).

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

21704121600 is a wasteful number, since it uses less digits than its factorization.

21704121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The spelling of 21704121600 in words is "twenty-one billion, seven hundred four million, one hundred twenty-one thousand, six hundred".