21570872217600 has 624 divisors, whose sum is σ = 72071067781440. Its totient is φ = 5691919564800.

The previous prime is 21570872217599. The next prime is 21570872217611. The reversal of 21570872217600 is 671227807512.

It is a hoax number, since the sum of its digits (48) 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 21570872217600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12621925546 + ... + 12621927254.

It is an arithmetic number, because the mean of its divisors is an integer number (115498506060).

Almost surely, 2^{21570872217600} is an apocalyptic number.

21570872217600 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 21570872217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36035533890720).

21570872217600 is an abundant number, since it is smaller than the sum of its proper divisors (50500195563840).

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

21570872217600 is a wasteful number, since it uses less digits than its factorization.

21570872217600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 48.

The spelling of 21570872217600 in words is "twenty-one trillion, five hundred seventy billion, eight hundred seventy-two million, two hundred seventeen thousand, six hundred".