21025093824 has 168 divisors, whose sum is σ = 68934348288. Its totient is φ = 6001896960.

The previous prime is 21025093819. The next prime is 21025093829. The reversal of 21025093824 is 42839052012.

It is a happy number.

21025093824 is a `hidden beast` number, since 21 + 0 + 250 + 9 + 382 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (21025093819) and next prime (21025093829).

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21025093829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8590969 + ... + 8593415.

Almost surely, 2^21025093824 is an apocalyptic number.

21025093824 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 21025093824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34467174144).

21025093824 is an abundant number, since it is smaller than the sum of its proper divisors (47909254464).

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

21025093824 is a wasteful number, since it uses less digits than its factorization.

21025093824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4603 (or 4590 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 21025093824 in words is "twenty-one billion, twenty-five million, ninety-three thousand, eight hundred twenty-four".