21695287152 has 320 divisors, whose sum is σ = 71881113600. Its totient is φ = 5475824640.

The previous prime is 21695287111. The next prime is 21695287169. The reversal of 21695287152 is 25178259612.

It is a super-2 number, since 2×21695287152² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19562374 + ... + 19563482.

It is an arithmetic number, because the mean of its divisors is an integer number (224628480).

Almost surely, 2^21695287152 is an apocalyptic number.

21695287152 is a gapful number since it is divisible by the number (22) 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 21695287152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35940556800).

21695287152 is an abundant number, since it is smaller than the sum of its proper divisors (50185826448).

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

21695287152 is a wasteful number, since it uses less digits than its factorization.

21695287152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1278 counting only the distinct ones).

The product of its digits is 604800, while the sum is 48.

The spelling of 21695287152 in words is "twenty-one billion, six hundred ninety-five million, two hundred eighty-seven thousand, one hundred fifty-two".