39599856145152 has 864 divisors, whose sum is σ = 129131655045120. Its totient is φ = 11596854067200.

The previous prime is 39599856145151. The next prime is 39599856145219. The reversal of 39599856145152 is 25154165899593.

39599856145152 is a `hidden beast` number, since 3 + 9 + 5 + 9 + 9 + 8 + 561 + 4 + 5 + 1 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (39599856145151) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 34404739777 + ... + 34404740927.

It is an arithmetic number, because the mean of its divisors is an integer number (149457934080).

Almost surely, 2^{39599856145152} is an apocalyptic number.

39599856145152 is a gapful number since it is divisible by the number (32) 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 39599856145152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64565827522560).

39599856145152 is an abundant number, since it is smaller than the sum of its proper divisors (89531798899968).

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

39599856145152 is a wasteful number, since it uses less digits than its factorization.

39599856145152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1832 counting only the distinct ones).

The product of its digits is 524880000, while the sum is 72.

The spelling of 39599856145152 in words is "thirty-nine trillion, five hundred ninety-nine billion, eight hundred fifty-six million, one hundred forty-five thousand, one hundred fifty-two".