21335943114720 has 2016 divisors, whose sum is σ = 86567946085152. Its totient is φ = 4936136122368.

The previous prime is 21335943114547. The next prime is 21335943114751. The reversal of 21335943114720 is 2741134953312.

21335943114720 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 59 + 431 + 147 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 53742929562 + ... + 53742929958.

It is an arithmetic number, because the mean of its divisors is an integer number (42940449447).

Almost surely, 2^{21335943114720} is an apocalyptic number.

21335943114720 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 21335943114720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43283973042576).

21335943114720 is an abundant number, since it is smaller than the sum of its proper divisors (65232002970432).

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

21335943114720 is a wasteful number, since it uses less digits than its factorization.

21335943114720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 21335943114720 in words is "twenty-one trillion, three hundred thirty-five billion, nine hundred forty-three million, one hundred fourteen thousand, seven hundred twenty".