21006272700 has 1440 divisors, whose sum is σ = 91954114560. Its totient is φ = 4031078400.

The previous prime is 21006272653. The next prime is 21006272701. The reversal of 21006272700 is 727260012.

21006272700 is a `hidden beast` number, since 2 + 10 + 0 + 627 + 27 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21006272701) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 567737082 + ... + 567737118.

It is an arithmetic number, because the mean of its divisors is an integer number (63857024).

Almost surely, 2^21006272700 is an apocalyptic number.

21006272700 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 21006272700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45977057280).

21006272700 is an abundant number, since it is smaller than the sum of its proper divisors (70947841860).

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

21006272700 is a wasteful number, since it uses less digits than its factorization.

21006272700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 21006272700 in words is "twenty-one billion, six million, two hundred seventy-two thousand, seven hundred".