39820196160 has 448 divisors, whose sum is σ = 150621431040. Its totient is φ = 9991102464.

The previous prime is 39820196131. The next prime is 39820196183. The reversal of 39820196160 is 6169102893.

It is a happy number.

39820196160 is a `hidden beast` number, since 3 + 9 + 8 + 20 + 1 + 9 + 616 + 0 = 666.

39820196160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11895607 + ... + 11898953.

Almost surely, 2^39820196160 is an apocalyptic number.

39820196160 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 39820196160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75310715520).

39820196160 is an abundant number, since it is smaller than the sum of its proper divisors (110801234880).

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

39820196160 is an equidigital number, since it uses as much as digits as its factorization.

39820196160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3402 (or 3374 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 39820196160 in words is "thirty-nine billion, eight hundred twenty million, one hundred ninety-six thousand, one hundred sixty".