3872586255552 has 448 divisors, whose sum is σ = 13487960832000. Its totient is φ = 1066058993664.

The previous prime is 3872586255529. The next prime is 3872586255569. The reversal of 3872586255552 is 2555526852783.

3872586255552 is a `hidden beast` number, since 3 + 8 + 7 + 2 + 58 + 6 + 25 + 5 + 552 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 3872586255552.

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, 170820474 + ... + 170843142.

Almost surely, 2^{3872586255552} is an apocalyptic number.

3872586255552 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 3872586255552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6743980416000).

3872586255552 is an abundant number, since it is smaller than the sum of its proper divisors (9615374576448).

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

3872586255552 is a wasteful number, since it uses less digits than its factorization.

3872586255552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23213 (or 23197 counting only the distinct ones).

The product of its digits is 201600000, while the sum is 63.

The spelling of 3872586255552 in words is "three trillion, eight hundred seventy-two billion, five hundred eighty-six million, two hundred fifty-five thousand, five hundred fifty-two".