21450667000 has 256 divisors, whose sum is σ = 60685148160. Its totient is φ = 6940800000.

The previous prime is 21450666989. The next prime is 21450667027. The reversal of 21450667000 is 76605412.

It is a happy number.

It is a super-2 number, since 2×21450667000² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

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, 8895795 + ... + 8898205.

It is an arithmetic number, because the mean of its divisors is an integer number (237051360).

Almost surely, 2^21450667000 is an apocalyptic number.

21450667000 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 21450667000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30342574080).

21450667000 is an abundant number, since it is smaller than the sum of its proper divisors (39234481160).

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

21450667000 is a wasteful number, since it uses less digits than its factorization.

21450667000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2511 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 21450667000 in words is "twenty-one billion, four hundred fifty million, six hundred sixty-seven thousand".