21342906000 has 320 divisors, whose sum is σ = 82338896640. Its totient is φ = 5253465600.

The previous prime is 21342905923. The next prime is 21342906029. The reversal of 21342906000 is 60924312.

21342906000 is a `hidden beast` number, since 2 + 1 + 34 + 29 + 0 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 686799 + ... + 717201.

It is an arithmetic number, because the mean of its divisors is an integer number (257309052).

Almost surely, 2^21342906000 is an apocalyptic number.

21342906000 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 21342906000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41169448320).

21342906000 is an abundant number, since it is smaller than the sum of its proper divisors (60995990640).

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

21342906000 is a wasteful number, since it uses less digits than its factorization.

21342906000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30448 (or 30426 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 21342906000 in words is "twenty-one billion, three hundred forty-two million, nine hundred six thousand".