21677300032 has 112 divisors (see below), whose sum is σ = 48195829440. Its totient is φ = 9613320192.

The previous prime is 21677299967. The next prime is 21677300039. The reversal of 21677300032 is 23000377612.

It is a junction number, because it is equal to n+sod(n) for n = 21677299967 and 21677300003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21677300039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4069723 + ... + 4075045.

Almost surely, 2^21677300032 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 21677300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24097914720).

21677300032 is an abundant number, since it is smaller than the sum of its proper divisors (26518529408).

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

21677300032 is a wasteful number, since it uses less digits than its factorization.

21677300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5568 (or 5558 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 31.

Adding to 21677300032 its reverse (23000377612), we get a palindrome (44677677644).

The spelling of 21677300032 in words is "twenty-one billion, six hundred seventy-seven million, three hundred thousand, thirty-two".