21272993280 has 960 divisors, whose sum is σ = 96059208960. Its totient is φ = 4412620800.

The previous prime is 21272993279. The next prime is 21272993293. The reversal of 21272993280 is 8239927212.

It is a happy number.

21272993280 is a `hidden beast` number, since 212 + 72 + 9 + 93 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37255395 + ... + 37255965.

It is an arithmetic number, because the mean of its divisors is an integer number (100061676).

Almost surely, 2^21272993280 is an apocalyptic number.

21272993280 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 21272993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48029604480).

21272993280 is an abundant number, since it is smaller than the sum of its proper divisors (74786215680).

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

21272993280 is a wasteful number, since it uses less digits than its factorization.

21272993280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 21272993280 in words is "twenty-one billion, two hundred seventy-two million, nine hundred ninety-three thousand, two hundred eighty".