21334834080 has 768 divisors, whose sum is σ = 92386344960. Its totient is φ = 4486938624.

The previous prime is 21334834061. The next prime is 21334834117. The reversal of 21334834080 is 8043843312.

It is a happy number.

21334834080 is a `hidden beast` number, since 2 + 133 + 483 + 40 + 8 + 0 = 666.

It is a super-2 number, since 2×21334834080² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24161319 + ... + 24162201.

It is an arithmetic number, because the mean of its divisors is an integer number (120294720).

Almost surely, 2^21334834080 is an apocalyptic number.

21334834080 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 21334834080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46193172480).

21334834080 is an abundant number, since it is smaller than the sum of its proper divisors (71051510880).

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

21334834080 is a wasteful number, since it uses less digits than its factorization.

21334834080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 21334834080 in words is "twenty-one billion, three hundred thirty-four million, eight hundred thirty-four thousand, eighty".