21677096448 has 160 divisors (see below), whose sum is σ = 73332568320. Its totient is φ = 6193428480.

The previous prime is 21677096401. The next prime is 21677096477. The reversal of 21677096448 is 84469077612.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 21677096394 and 21677096403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15238 + ... + 208773.

It is an arithmetic number, because the mean of its divisors is an integer number (458328552).

Almost surely, 2^21677096448 is an apocalyptic number.

21677096448 is a gapful number since it is divisible by the number (28) 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 21677096448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36666284160).

21677096448 is an abundant number, since it is smaller than the sum of its proper divisors (51655471872).

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

21677096448 is an equidigital number, since it uses as much as digits as its factorization.

21677096448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224045 (or 224023 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 21677096448 in words is "twenty-one billion, six hundred seventy-seven million, ninety-six thousand, four hundred forty-eight".