20907513666000 has 1280 divisors, whose sum is σ = 81785565388800. Its totient is φ = 5074845696000.

The previous prime is 20907513665999. The next prime is 20907513666047. The reversal of 20907513666000 is 66631570902.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 32617025680 + ... + 32617026320.

It is an arithmetic number, because the mean of its divisors is an integer number (63894972960).

Almost surely, 2^{20907513666000} is an apocalyptic number.

20907513666000 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 20907513666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40892782694400).

20907513666000 is an abundant number, since it is smaller than the sum of its proper divisors (60878051722800).

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

20907513666000 is a wasteful number, since it uses less digits than its factorization.

20907513666000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 20907513666000 in words is "twenty trillion, nine hundred seven billion, five hundred thirteen million, six hundred sixty-six thousand".