8487625305600 has 2880 divisors, whose sum is σ = 39814657698816. Its totient is φ = 1744770170880.

The previous prime is 8487625305589. The next prime is 8487625305613. The reversal of 8487625305600 is 65035267848.

8487625305600 is a `hidden beast` number, since 8 + 4 + 8 + 7 + 6 + 25 + 3 + 0 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×8487625305600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 8513164302 + ... + 8513165298.

Almost surely, 2^{8487625305600} is an apocalyptic number.

8487625305600 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 8487625305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19907328849408).

8487625305600 is an abundant number, since it is smaller than the sum of its proper divisors (31327032393216).

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

8487625305600 is a wasteful number, since it uses less digits than its factorization.

8487625305600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 8487625305600 in words is "eight trillion, four hundred eighty-seven billion, six hundred twenty-five million, three hundred five thousand, six hundred".