21749820825600 has 1512 divisors, whose sum is σ = 91056243414708. Its totient is φ = 4947915571200.

The previous prime is 21749820825599. The next prime is 21749820825631. The reversal of 21749820825600 is 652802894712.

21749820825600 is a `hidden beast` number, since 2 + 1 + 7 + 4 + 9 + 8 + 2 + 0 + 8 + 25 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 15180810817536 + 6569010008064 = 3896256^2 + 2563008^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 25379020372 + ... + 25379021228.

Almost surely, 2^{21749820825600} is an apocalyptic number.

21749820825600 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 21749820825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45528121707354).

21749820825600 is an abundant number, since it is smaller than the sum of its proper divisors (69306422589108).

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

21749820825600 is a wasteful number, since it uses less digits than its factorization.

21749820825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 21749820825600 in words is "twenty-one trillion, seven hundred forty-nine billion, eight hundred twenty million, eight hundred twenty-five thousand, six hundred".