20382513408 has 252 divisors, whose sum is σ = 61493382300. Its totient is φ = 6739365888.

The previous prime is 20382513391. The next prime is 20382513457. The reversal of 20382513408 is 80431528302.

20382513408 is a `hidden beast` number, since 20 + 3 + 82 + 513 + 40 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12230590464 + 8151922944 = 110592^2 + 90288^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 27806610 + ... + 27807342.

Almost surely, 2^20382513408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20382513408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30746691150).

20382513408 is an abundant number, since it is smaller than the sum of its proper divisors (41110868892).

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

20382513408 is an frugal number, since it uses more digits than its factorization.

20382513408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 20382513408 in words is "twenty billion, three hundred eighty-two million, five hundred thirteen thousand, four hundred eight".