21026753280 has 576 divisors, whose sum is σ = 85113141120. Its totient is φ = 4869586944.

The previous prime is 21026753269. The next prime is 21026753303. The reversal of 21026753280 is 8235762012.

21026753280 is a `hidden beast` number, since 21 + 0 + 26 + 7 + 532 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 7636384 + ... + 7639136.

It is an arithmetic number, because the mean of its divisors is an integer number (147765870).

Almost surely, 2^21026753280 is an apocalyptic number.

21026753280 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 21026753280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42556570560).

21026753280 is an abundant number, since it is smaller than the sum of its proper divisors (64086387840).

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

21026753280 is a wasteful number, since it uses less digits than its factorization.

21026753280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 21026753280 in words is "twenty-one billion, twenty-six million, seven hundred fifty-three thousand, two hundred eighty".