8455901002560 has 504 divisors, whose sum is σ = 32183972893800. Its totient is φ = 2036145070080.

The previous prime is 8455901002513. The next prime is 8455901002589. The reversal of 8455901002560 is 652001095548.

8455901002560 is a `hidden beast` number, since 8 + 4 + 5 + 590 + 1 + 0 + 0 + 2 + 56 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62504000064 + 8393397002496 = 250008^2 + 2897136^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51842094 + ... + 52004946.

It is an arithmetic number, because the mean of its divisors is an integer number (63857089075).

Almost surely, 2^{8455901002560} is an apocalyptic number.

8455901002560 is a gapful number since it is divisible by the number (80) 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 8455901002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16091986446900).

8455901002560 is an abundant number, since it is smaller than the sum of its proper divisors (23728071891240).

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

8455901002560 is a wasteful number, since it uses less digits than its factorization.

8455901002560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163047 (or 163023 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 8455901002560 in words is "eight trillion, four hundred fifty-five billion, nine hundred one million, two thousand, five hundred sixty".