21341916288000 has 6336 divisors, whose sum is σ = 108128165483520. Its totient is φ = 4138573824000.

The previous prime is 21341916287953. The next prime is 21341916288029. The reversal of 21341916288000 is 88261914312.

21341916288000 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 19 + 1 + 628 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6336).

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 575 ways as a sum of consecutive naturals, for example, 318536063967 + ... + 318536064033.

Almost surely, 2^{21341916288000} is an apocalyptic number.

21341916288000 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 21341916288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54064082741760).

21341916288000 is an abundant number, since it is smaller than the sum of its proper divisors (86786249195520).

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

21341916288000 is a wasteful number, since it uses less digits than its factorization.

21341916288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 21341916288000 in words is "twenty-one trillion, three hundred forty-one billion, nine hundred sixteen million, two hundred eighty-eight thousand".