21772742800 has 30 divisors (see below), whose sum is σ = 52309015538. Its totient is φ = 8709096960.

The previous prime is 21772742791. The next prime is 21772742861. The reversal of 21772742800 is 824727712.

It can be written as a sum of positive squares in 3 ways, for example, as 2741988496 + 19030754304 = 52364^2 + 137952^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27215529 + ... + 27216328.

Almost surely, 2^21772742800 is an apocalyptic number.

21772742800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21772742800 is an abundant number, since it is smaller than the sum of its proper divisors (30536272738).

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

21772742800 is a wasteful number, since it uses less digits than its factorization.

21772742800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54431875 (or 54431864 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 40.

The spelling of 21772742800 in words is "twenty-one billion, seven hundred seventy-two million, seven hundred forty-two thousand, eight hundred".