21040572960000 has 3780 divisors, whose sum is σ = 92629314830976. Its totient is φ = 4721587200000.

The previous prime is 21040572959999. The next prime is 21040572960013. The reversal of 21040572960000 is 6927504012.

21040572960000 is a `hidden beast` number, since 2 + 1 + 0 + 40 + 5 + 7 + 2 + 9 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 419 ways as a sum of consecutive naturals, for example, 678728159985 + ... + 678728160015.

Almost surely, 2^{21040572960000} is an apocalyptic number.

21040572960000 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 21040572960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46314657415488).

21040572960000 is an abundant number, since it is smaller than the sum of its proper divisors (71588741870976).

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

21040572960000 is an frugal number, since it uses more digits than its factorization.

21040572960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 21040572960000 in words is "twenty-one trillion, forty billion, five hundred seventy-two million, nine hundred sixty thousand".