21827965641300 has 2304 divisors, whose sum is σ = 93412521216000. Its totient is φ = 4295517143040.

The previous prime is 21827965641239. The next prime is 21827965641319. The reversal of 21827965641300 is 314656972812.

It is a happy number.

21827965641300 is a `hidden beast` number, since 2 + 1 + 8 + 2 + 79 + 6 + 564 + 1 + 3 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 50411005884 + ... + 50411006316.

It is an arithmetic number, because the mean of its divisors is an integer number (40543629000).

It is a 1-persistent number, because it is pandigital, but 2⋅21827965641300 = 43655931282600 is not.

Almost surely, 2^{21827965641300} is an apocalyptic number.

21827965641300 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 21827965641300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46706260608000).

21827965641300 is an abundant number, since it is smaller than the sum of its proper divisors (71584555574700).

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

21827965641300 is a wasteful number, since it uses less digits than its factorization.

21827965641300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 21827965641300 in words is "twenty-one trillion, eight hundred twenty-seven billion, nine hundred sixty-five million, six hundred forty-one thousand, three hundred".