21061742000 has 240 divisors, whose sum is σ = 58281498912. Its totient is φ = 7316582400.

The previous prime is 21061741957. The next prime is 21061742029. The reversal of 21061742000 is 24716012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7512599 + ... + 7515401.

Almost surely, 2^21061742000 is an apocalyptic number.

21061742000 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 21061742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29140749456).

21061742000 is an abundant number, since it is smaller than the sum of its proper divisors (37219756912).

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

21061742000 is a wasteful number, since it uses less digits than its factorization.

21061742000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The spelling of 21061742000 in words is "twenty-one billion, sixty-one million, seven hundred forty-two thousand".