39455504009856 has 480 divisors, whose sum is σ = 129109833800640. Its totient is φ = 11951949081600.

The previous prime is 39455504009837. The next prime is 39455504009921. The reversal of 39455504009856 is 65890040555493.

39455504009856 is a `hidden beast` number, since 3 + 9 + 45 + 5 + 50 + 400 + 98 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 39455504009793 and 39455504009802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6908682841 + ... + 6908688551.

It is an arithmetic number, because the mean of its divisors is an integer number (268978820418).

Almost surely, 2^{39455504009856} is an apocalyptic number.

39455504009856 is a gapful number since it is divisible by the number (36) 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 39455504009856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64554916900320).

39455504009856 is an abundant number, since it is smaller than the sum of its proper divisors (89654329790784).

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

39455504009856 is a wasteful number, since it uses less digits than its factorization.

39455504009856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11266 (or 11234 counting only the distinct ones).

The product of its (nonzero) digits is 116640000, while the sum is 63.

The spelling of 39455504009856 in words is "thirty-nine trillion, four hundred fifty-five billion, five hundred four million, nine thousand, eight hundred fifty-six".