39855549679488 has 384 divisors, whose sum is σ = 117321863218560. Its totient is φ = 12984227942400.

The previous prime is 39855549679487. The next prime is 39855549679537. The reversal of 39855549679488 is 88497694555893.

39855549679488 is a `hidden beast` number, since 3 + 9 + 8 + 5 + 5 + 5 + 496 + 79 + 48 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 39855549679398 and 39855549679407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39855549679483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4146000570 + ... + 4146010182.

It is an arithmetic number, because the mean of its divisors is an integer number (305525685465).

Almost surely, 2^{39855549679488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39855549679488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58660931609280).

39855549679488 is an abundant number, since it is smaller than the sum of its proper divisors (77466313539072).

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

39855549679488 is a wasteful number, since it uses less digits than its factorization.

39855549679488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10178 (or 10163 counting only the distinct ones).

The product of its digits is 94058496000, while the sum is 90.

The spelling of 39855549679488 in words is "thirty-nine trillion, eight hundred fifty-five billion, five hundred forty-nine million, six hundred seventy-nine thousand, four hundred eighty-eight".