21772352627392 has 224 divisors, whose sum is σ = 45847783376640. Its totient is φ = 10247094190080.

The previous prime is 21772352627341. The next prime is 21772352627449. The reversal of 21772352627392 is 29372625327712.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2935462468 + ... + 2935469884.

It is an arithmetic number, because the mean of its divisors is an integer number (204677604360).

Almost surely, 2^{21772352627392} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21772352627392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22923891688320).

21772352627392 is an abundant number, since it is smaller than the sum of its proper divisors (24075430749248).

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

21772352627392 is a wasteful number, since it uses less digits than its factorization.

21772352627392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7879 (or 7869 counting only the distinct ones).

The product of its digits is 26671680, while the sum is 58.

The spelling of 21772352627392 in words is "twenty-one trillion, seven hundred seventy-two billion, three hundred fifty-two million, six hundred twenty-seven thousand, three hundred ninety-two".