8250742425600 has 720 divisors, whose sum is σ = 30612553171200. Its totient is φ = 2196343848960.

The previous prime is 8250742425571. The next prime is 8250742425613. The reversal of 8250742425600 is 65242470528.

8250742425600 is a `hidden beast` number, since 8 + 2 + 5 + 0 + 7 + 42 + 42 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2981835417 + ... + 2981838183.

It is an arithmetic number, because the mean of its divisors is an integer number (42517434960).

Almost surely, 2^{8250742425600} is an apocalyptic number.

8250742425600 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 8250742425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15306276585600).

8250742425600 is an abundant number, since it is smaller than the sum of its proper divisors (22361810745600).

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

8250742425600 is a wasteful number, since it uses less digits than its factorization.

8250742425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3530 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 8250742425600 in words is "eight trillion, two hundred fifty billion, seven hundred forty-two million, four hundred twenty-five thousand, six hundred".