21076233024 has 672 divisors, whose sum is σ = 74914963200. Its totient is φ = 5109350400.

The previous prime is 21076233001. The next prime is 21076233047. The reversal of 21076233024 is 42033267012.

It is an interprime number because it is at equal distance from previous prime (21076233001) and next prime (21076233047).

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 21076232982 and 21076233000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 193359882 + ... + 193359990.

It is an arithmetic number, because the mean of its divisors is an integer number (111480600).

Almost surely, 2^21076233024 is an apocalyptic number.

21076233024 is a gapful number since it is divisible by the number (24) 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 21076233024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37457481600).

21076233024 is an abundant number, since it is smaller than the sum of its proper divisors (53838730176).

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

21076233024 is a wasteful number, since it uses less digits than its factorization.

21076233024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The spelling of 21076233024 in words is "twenty-one billion, seventy-six million, two hundred thirty-three thousand, twenty-four".