20382476083200 has 3024 divisors, whose sum is σ = 95001569492544. Its totient is φ = 4213820620800.

The previous prime is 20382476083157. The next prime is 20382476083279. The reversal of 20382476083200 is 238067428302.

20382476083200 is a `hidden beast` number, since 2 + 0 + 3 + 8 + 2 + 4 + 7 + 608 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 103464345502 + ... + 103464345698.

Almost surely, 2^{20382476083200} is an apocalyptic number.

20382476083200 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 20382476083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47500784746272).

20382476083200 is an abundant number, since it is smaller than the sum of its proper divisors (74619093409344).

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

20382476083200 is an frugal number, since it uses more digits than its factorization.

20382476083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 20382476083200 in words is "twenty trillion, three hundred eighty-two billion, four hundred seventy-six million, eighty-three thousand, two hundred".