21677257944 has 96 divisors (see below), whose sum is σ = 59798466000. Its totient is φ = 7092873216.

The previous prime is 21677257919. The next prime is 21677257961. The reversal of 21677257944 is 44975277612.

21677257944 is a `hidden beast` number, since 2 + 1 + 67 + 7 + 2 + 579 + 4 + 4 = 666.

It is a super-2 number, since 2×21677257944² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 878544 + ... + 902880.

Almost surely, 2^21677257944 is an apocalyptic number.

21677257944 is a gapful number since it is divisible by the number (24) 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 21677257944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29899233000).

21677257944 is an abundant number, since it is smaller than the sum of its proper divisors (38121208056).

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

21677257944 is a wasteful number, since it uses less digits than its factorization.

21677257944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24577 (or 24570 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The spelling of 21677257944 in words is "twenty-one billion, six hundred seventy-seven million, two hundred fifty-seven thousand, nine hundred forty-four".