21562201491600 has 960 divisors, whose sum is σ = 87952884940800. Its totient is φ = 4476326400000.

The previous prime is 21562201491559. The next prime is 21562201491667. The reversal of 21562201491600 is 619410226512.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8833346380 + ... + 8833348820.

It is an arithmetic number, because the mean of its divisors is an integer number (91617588480).

Almost surely, 2^{21562201491600} is an apocalyptic number.

21562201491600 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 21562201491600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43976442470400).

21562201491600 is an abundant number, since it is smaller than the sum of its proper divisors (66390683449200).

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

21562201491600 is a wasteful number, since it uses less digits than its factorization.

21562201491600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4445 (or 4420 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 21562201491600 in words is "twenty-one trillion, five hundred sixty-two billion, two hundred one million, four hundred ninety-one thousand, six hundred".