21577279248 has 480 divisors, whose sum is σ = 75766579200. Its totient is φ = 5596867584.

The previous prime is 21577279247. The next prime is 21577279279. The reversal of 21577279248 is 84297277512.

21577279248 is a `hidden beast` number, since 2 + 1 + 577 + 27 + 9 + 2 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21577279194 and 21577279203.

It is not an unprimeable number, because it can be changed into a prime (21577279247) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 45046273 + ... + 45046751.

It is an arithmetic number, because the mean of its divisors is an integer number (157847040).

Almost surely, 2^21577279248 is an apocalyptic number.

21577279248 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 21577279248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37883289600).

21577279248 is an abundant number, since it is smaller than the sum of its proper divisors (54189299952).

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

21577279248 is a wasteful number, since it uses less digits than its factorization.

21577279248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 610 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 54.

The spelling of 21577279248 in words is "twenty-one billion, five hundred seventy-seven million, two hundred seventy-nine thousand, two hundred forty-eight".