21064625400 has 384 divisors, whose sum is σ = 82549716480. Its totient is φ = 4323870720.

The previous prime is 21064625399. The next prime is 21064625419. The reversal of 21064625400 is 452646012.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2014987 + ... + 2025413.

It is an arithmetic number, because the mean of its divisors is an integer number (214973220).

Almost surely, 2^21064625400 is an apocalyptic number.

21064625400 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 21064625400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41274858240).

21064625400 is an abundant number, since it is smaller than the sum of its proper divisors (61485091080).

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

21064625400 is a wasteful number, since it uses less digits than its factorization.

21064625400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10503 (or 10494 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 21064625400 in words is "twenty-one billion, sixty-four million, six hundred twenty-five thousand, four hundred".