20299417044480 has 720 divisors, whose sum is σ = 83991349522080. Its totient is φ = 4438114762752.

The previous prime is 20299417044419. The next prime is 20299417044499. The reversal of 20299417044480 is 8444071499202.

20299417044480 is a `hidden beast` number, since 2 + 0 + 2 + 9 + 94 + 1 + 70 + 4 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 85198156 + ... + 85436084.

It is an arithmetic number, because the mean of its divisors is an integer number (116654652114).

Almost surely, 2^{20299417044480} is an apocalyptic number.

20299417044480 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 20299417044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41995674761040).

20299417044480 is an abundant number, since it is smaller than the sum of its proper divisors (63691932477600).

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

20299417044480 is a wasteful number, since it uses less digits than its factorization.

20299417044480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238011 (or 237969 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 20299417044480 in words is "twenty trillion, two hundred ninety-nine billion, four hundred seventeen million, forty-four thousand, four hundred eighty".