21946548879360 has 1472 divisors, whose sum is σ = 91804915008000. Its totient is φ = 4971961516032.

The previous prime is 21946548879287. The next prime is 21946548879361. The reversal of 21946548879360 is 6397884564912.

21946548879360 is a `hidden beast` number, since 2 + 1 + 9 + 4 + 6 + 548 + 8 + 79 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (21946548879361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194217246664 + ... + 194217246776.

It is a 1-persistent number, because it is pandigital, but 2⋅21946548879360 = 43893097758720 is not.

Almost surely, 2^{21946548879360} is an apocalyptic number.

21946548879360 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 21946548879360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45902457504000).

21946548879360 is an abundant number, since it is smaller than the sum of its proper divisors (69858366128640).

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

21946548879360 is an frugal number, since it uses more digits than its factorization.

21946548879360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 21946548879360 in words is "twenty-one trillion, nine hundred forty-six billion, five hundred forty-eight million, eight hundred seventy-nine thousand, three hundred sixty".