21335141836800 has 864 divisors, whose sum is σ = 86442562009440. Its totient is φ = 5172122419200.

The previous prime is 21335141836793. The next prime is 21335141836859. The reversal of 21335141836800 is 863814153312.

It is a happy number.

21335141836800 is a `hidden beast` number, since 2 + 13 + 3 + 514 + 18 + 36 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 136779654 + ... + 136935546.

It is an arithmetic number, because the mean of its divisors is an integer number (100049261585).

Almost surely, 2^{21335141836800} is an apocalyptic number.

21335141836800 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 21335141836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43221281004720).

21335141836800 is an abundant number, since it is smaller than the sum of its proper divisors (65107420172640).

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

21335141836800 is a wasteful number, since it uses less digits than its factorization.

21335141836800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155951 (or 155914 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 21335141836800 in words is "twenty-one trillion, three hundred thirty-five billion, one hundred forty-one million, eight hundred thirty-six thousand, eight hundred".