20415471820800 has 1344 divisors, whose sum is σ = 81020451502080. Its totient is φ = 4434721505280.

The previous prime is 20415471820673. The next prime is 20415471820831. The reversal of 20415471820800 is 802817451402.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17706393024 + ... + 17706394176.

Almost surely, 2^{20415471820800} is an apocalyptic number.

20415471820800 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 20415471820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40510225751040).

20415471820800 is an abundant number, since it is smaller than the sum of its proper divisors (60604979681280).

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

20415471820800 is a wasteful number, since it uses less digits than its factorization.

20415471820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The spelling of 20415471820800 in words is "twenty trillion, four hundred fifteen billion, four hundred seventy-one million, eight hundred twenty thousand, eight hundred".