21677365248 has 192 divisors, whose sum is σ = 72054178560. Its totient is φ = 5630361600.

The previous prime is 21677365217. The next prime is 21677365309. The reversal of 21677365248 is 84256377612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 21677365248.

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, 450178 + ... + 495998.

It is an arithmetic number, because the mean of its divisors is an integer number (375282180).

Almost surely, 2^21677365248 is an apocalyptic number.

21677365248 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 21677365248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36027089280).

21677365248 is an abundant number, since it is smaller than the sum of its proper divisors (50376813312).

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

21677365248 is a wasteful number, since it uses less digits than its factorization.

21677365248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45864 (or 45844 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 51.

The spelling of 21677365248 in words is "twenty-one billion, six hundred seventy-seven million, three hundred sixty-five thousand, two hundred forty-eight".