8491254105600 has 1200 divisors, whose sum is σ = 36027388742400. Its totient is φ = 1934857912320.

The previous prime is 8491254105563. The next prime is 8491254105611. The reversal of 8491254105600 is 65014521948.

8491254105600 is a `hidden beast` number, since 8 + 4 + 9 + 1 + 25 + 4 + 10 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2605476771 + ... + 2605480029.

It is an arithmetic number, because the mean of its divisors is an integer number (30022823952).

Almost surely, 2^{8491254105600} is an apocalyptic number.

8491254105600 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 8491254105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18013694371200).

8491254105600 is an abundant number, since it is smaller than the sum of its proper divisors (27536134636800).

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

8491254105600 is a wasteful number, since it uses less digits than its factorization.

8491254105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3665 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 8491254105600 in words is "eight trillion, four hundred ninety-one billion, two hundred fifty-four million, one hundred five thousand, six hundred".