21150729600 has 1536 divisors, whose sum is σ = 97913733120. Its totient is φ = 3870720000.

The previous prime is 21150729563. The next prime is 21150729731. The reversal of 21150729600 is 692705112.

It is a super-2 number, since 2×21150729600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 297897565 + ... + 297897635.

It is an arithmetic number, because the mean of its divisors is an integer number (63745920).

Almost surely, 2^21150729600 is an apocalyptic number.

21150729600 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 21150729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48956866560).

21150729600 is an abundant number, since it is smaller than the sum of its proper divisors (76763003520).

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

21150729600 is a wasteful number, since it uses less digits than its factorization.

21150729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The spelling of 21150729600 in words is "twenty-one billion, one hundred fifty million, seven hundred twenty-nine thousand, six hundred".