21697633484800 has 1536 divisors, whose sum is σ = 70336398182400. Its totient is φ = 6455033856000.

The previous prime is 21697633484767. The next prime is 21697633484873. The reversal of 21697633484800 is 848433679612.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94749491086 + ... + 94749491314.

It is an arithmetic number, because the mean of its divisors is an integer number (45791925900).

Almost surely, 2^{21697633484800} is an apocalyptic number.

21697633484800 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 21697633484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35168199091200).

21697633484800 is an abundant number, since it is smaller than the sum of its proper divisors (48638764697600).

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

21697633484800 is a wasteful number, since it uses less digits than its factorization.

21697633484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 61.

The spelling of 21697633484800 in words is "twenty-one trillion, six hundred ninety-seven billion, six hundred thirty-three million, four hundred eighty-four thousand, eight hundred".