21672862848 has 1152 divisors, whose sum is σ = 86968627200. Its totient is φ = 5240401920.

The previous prime is 21672862793. The next prime is 21672862889. The reversal of 21672862848 is 84826827612.

21672862848 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 2 + 8 + 628 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×21672862848² (a number of 21 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (4128768) is a multiple of the sum of its prime factors (112).

It is a junction number, because it is equal to n+sod(n) for n = 21672862794 and 21672862803.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 699124593 + ... + 699124623.

It is an arithmetic number, because the mean of its divisors is an integer number (75493600).

Almost surely, 2^21672862848 is an apocalyptic number.

21672862848 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 21672862848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43484313600).

21672862848 is an abundant number, since it is smaller than the sum of its proper divisors (65295764352).

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

21672862848 is a wasteful number, since it uses less digits than its factorization.

21672862848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 75 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The spelling of 21672862848 in words is "twenty-one billion, six hundred seventy-two million, eight hundred sixty-two thousand, eight hundred forty-eight".