21295113840000 has 6400 divisors, whose sum is σ = 110117101248000. Its totient is φ = 4023613440000.

The previous prime is 21295113839939. The next prime is 21295113840019. The reversal of 21295113840000 is 4831159212.

21295113840000 is a `hidden beast` number, since 212 + 9 + 5 + 1 + 1 + 38 + 400 + 0 + 0 = 666.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 799 ways as a sum of consecutive naturals, for example, 317837519967 + ... + 317837520033.

It is an arithmetic number, because the mean of its divisors is an integer number (17205797070).

Almost surely, 2^{21295113840000} is an apocalyptic number.

21295113840000 is a gapful number since it is divisible by the number (20) 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 21295113840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55058550624000).

21295113840000 is an abundant number, since it is smaller than the sum of its proper divisors (88821987408000).

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

21295113840000 is an equidigital number, since it uses as much as digits as its factorization.

21295113840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 21295113840000 its reverse (4831159212), we get a palindrome (21299944999212).

It can be divided in two parts, 212951 and 13840000, that added together give a triangular number (14052951 = T₅₃₀₁).

The spelling of 21295113840000 in words is "twenty-one trillion, two hundred ninety-five billion, one hundred thirteen million, eight hundred forty thousand".