21967745280 has 864 divisors, whose sum is σ = 84779364096. Its totient is φ = 4807655424.

The previous prime is 21967745279. The next prime is 21967745281. The reversal of 21967745280 is 8254776912.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21967745279) and next prime (21967745281).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21967745281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 414485734 + ... + 414485786.

It is an arithmetic number, because the mean of its divisors is an integer number (98124264).

Almost surely, 2^21967745280 is an apocalyptic number.

21967745280 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 21967745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42389682048).

21967745280 is an abundant number, since it is smaller than the sum of its proper divisors (62811618816).

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

21967745280 is a wasteful number, since it uses less digits than its factorization.

21967745280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 21967745280 in words is "twenty-one billion, nine hundred sixty-seven million, seven hundred forty-five thousand, two hundred eighty".