39782160000 has 480 divisors, whose sum is σ = 156086536320. Its totient is φ = 9642240000.

The previous prime is 39782159957. The next prime is 39782160001. The reversal of 39782160000 is 6128793.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39782160001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7917489 + ... + 7922511.

It is an arithmetic number, because the mean of its divisors is an integer number (325180284).

Almost surely, 2^39782160000 is an apocalyptic number.

39782160000 is a gapful number since it is divisible by the number (30) 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 39782160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78043268160).

39782160000 is an abundant number, since it is smaller than the sum of its proper divisors (116304376320).

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

39782160000 is a wasteful number, since it uses less digits than its factorization.

39782160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5074 (or 5044 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 39782160000 its reverse (6128793), we get a palindrome (39788288793).

The spelling of 39782160000 in words is "thirty-nine billion, seven hundred eighty-two million, one hundred sixty thousand".