39796588488960 has 432 divisors, whose sum is σ = 138829814323200. Its totient is φ = 10524797337600.

The previous prime is 39796588488949. The next prime is 39796588488983. The reversal of 39796588488960 is 6988488569793.

39796588488960 is a `hidden beast` number, since 3 + 9 + 7 + 9 + 65 + 8 + 8 + 488 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6801670035 + ... + 6801675885.

Almost surely, 2^{39796588488960} is an apocalyptic number.

39796588488960 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 39796588488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69414907161600).

39796588488960 is an abundant number, since it is smaller than the sum of its proper divisors (99033225834240).

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

39796588488960 is a wasteful number, since it uses less digits than its factorization.

39796588488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10654 (or 10637 counting only the distinct ones).

The product of its (nonzero) digits is 45148078080, while the sum is 90.

The spelling of 39796588488960 in words is "thirty-nine trillion, seven hundred ninety-six billion, five hundred eighty-eight million, four hundred eighty-eight thousand, nine hundred sixty".