21186893952 has 768 divisors, whose sum is σ = 77368811520. Its totient is φ = 5643509760.

The previous prime is 21186893929. The next prime is 21186893953. The reversal of 21186893952 is 25939868112.

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

It is not an unprimeable number, because it can be changed into a prime (21186893953) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 290231388 + ... + 290231460.

It is an arithmetic number, because the mean of its divisors is an integer number (100740640).

Almost surely, 2^21186893952 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 21186893952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38684405760).

21186893952 is an abundant number, since it is smaller than the sum of its proper divisors (56181917568).

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

21186893952 is an equidigital number, since it uses as much as digits as its factorization.

21186893952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 159 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The spelling of 21186893952 in words is "twenty-one billion, one hundred eighty-six million, eight hundred ninety-three thousand, nine hundred fifty-two".