39920986560 has 448 divisors, whose sum is σ = 161042079744. Its totient is φ = 8150630400.

The previous prime is 39920986531. The next prime is 39920986577. The reversal of 39920986560 is 6568902993.

39920986560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 39920986560.

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, 2700790 + ... + 2715530.

It is an arithmetic number, because the mean of its divisors is an integer number (359468928).

Almost surely, 2^39920986560 is an apocalyptic number.

39920986560 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 39920986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80521039872).

39920986560 is an abundant number, since it is smaller than the sum of its proper divisors (121121093184).

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

39920986560 is a wasteful number, since it uses less digits than its factorization.

39920986560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14812 (or 14802 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 57.

The spelling of 39920986560 in words is "thirty-nine billion, nine hundred twenty million, nine hundred eighty-six thousand, five hundred sixty".