21221948160 has 972 divisors, whose sum is σ = 91965798288. Its totient is φ = 4595429376.

The previous prime is 21221948123. The next prime is 21221948171. The reversal of 21221948160 is 6184912212.

It is a tau number, because it is divible by the number of its divisors (972).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1116944631 + ... + 1116944649.

Almost surely, 2^21221948160 is an apocalyptic number.

21221948160 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 21221948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45982899144).

21221948160 is an abundant number, since it is smaller than the sum of its proper divisors (70743850128).

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

21221948160 is an frugal number, since it uses more digits than its factorization.

21221948160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 21221948160 in words is "twenty-one billion, two hundred twenty-one million, nine hundred forty-eight thousand, one hundred sixty".