20415766923360 has 768 divisors, whose sum is σ = 78451195576320. Its totient is φ = 4936309309440.

The previous prime is 20415766923353. The next prime is 20415766923361. The reversal of 20415766923360 is 6332966751402.

20415766923360 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 576 + 6 + 9 + 2 + 3 + 3 + 60 = 666.

It is a super-2 number, since 2×20415766923360² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20415766923297 and 20415766923306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20415766923361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 507670614 + ... + 507710826.

It is an arithmetic number, because the mean of its divisors is an integer number (102149994240).

Almost surely, 2^{20415766923360} is an apocalyptic number.

20415766923360 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 20415766923360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39225597788160).

20415766923360 is an abundant number, since it is smaller than the sum of its proper divisors (58035428652960).

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

20415766923360 is a wasteful number, since it uses less digits than its factorization.

20415766923360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40508 (or 40494 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 20415766923360 in words is "twenty trillion, four hundred fifteen billion, seven hundred sixty-six million, nine hundred twenty-three thousand, three hundred sixty".