21153127968 has 480 divisors, whose sum is σ = 74872740096. Its totient is φ = 5727946752.

The previous prime is 21153127967. The next prime is 21153127993. The reversal of 21153127968 is 86972135112.

21153127968 is a `hidden beast` number, since 2 + 1 + 1 + 531 + 27 + 96 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (21153127967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 72194830 + ... + 72195122.

Almost surely, 2^21153127968 is an apocalyptic number.

21153127968 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 21153127968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37436370048).

21153127968 is an abundant number, since it is smaller than the sum of its proper divisors (53719612128).

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

21153127968 is a wasteful number, since it uses less digits than its factorization.

21153127968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 501 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The spelling of 21153127968 in words is "twenty-one billion, one hundred fifty-three million, one hundred twenty-seven thousand, nine hundred sixty-eight".