21010542000 has 640 divisors, whose sum is σ = 82563287040. Its totient is φ = 4490035200.

The previous prime is 21010541999. The next prime is 21010542031. The reversal of 21010542000 is 24501012.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 127 ways as a sum of consecutive naturals, for example, 90173884 + ... + 90174116.

It is an arithmetic number, because the mean of its divisors is an integer number (129005136).

Almost surely, 2^21010542000 is an apocalyptic number.

21010542000 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 21010542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41281643520).

21010542000 is an abundant number, since it is smaller than the sum of its proper divisors (61552745040).

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

21010542000 is a wasteful number, since it uses less digits than its factorization.

21010542000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The spelling of 21010542000 in words is "twenty-one billion, ten million, five hundred forty-two thousand".