21384632295936 has 2880 divisors, whose sum is σ = 86695763616000. Its totient is φ = 5170709053440.

The previous prime is 21384632295883. The next prime is 21384632295989. The reversal of 21384632295936 is 63959223648312.

It is a happy number.

21384632295936 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 4 + 6 + 32 + 2 + 9 + 593 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (21384632295883) and next prime (21384632295989).

It is a super-4 number, since 4×21384632295936⁴ (a number of 54 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 689826848241 + ... + 689826848271.

It is an arithmetic number, because the mean of its divisors is an integer number (30102695700).

Almost surely, 2^{21384632295936} is an apocalyptic number.

21384632295936 is a gapful number since it is divisible by the number (26) 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 21384632295936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43347881808000).

21384632295936 is an abundant number, since it is smaller than the sum of its proper divisors (65311131320064).

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

21384632295936 is an equidigital number, since it uses as much as digits as its factorization.

21384632295936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 75 counting only the distinct ones).

The product of its digits is 100776960, while the sum is 63.

The spelling of 21384632295936 in words is "twenty-one trillion, three hundred eighty-four billion, six hundred thirty-two million, two hundred ninety-five thousand, nine hundred thirty-six".