21142521600 has 216 divisors, whose sum is σ = 70458740352. Its totient is φ = 5582745600.

The previous prime is 21142521599. The next prime is 21142521623. The reversal of 21142521600 is 612524112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1972255 + ... + 1982945.

It is an arithmetic number, because the mean of its divisors is an integer number (326197872).

Almost surely, 2^21142521600 is an apocalyptic number.

21142521600 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 21142521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35229370176).

21142521600 is an abundant number, since it is smaller than the sum of its proper divisors (49316218752).

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

21142521600 is a wasteful number, since it uses less digits than its factorization.

21142521600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10823 (or 10804 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 21142521600 in words is "twenty-one billion, one hundred forty-two million, five hundred twenty-one thousand, six hundred".