8275251600000 has 3840 divisors, whose sum is σ = 39985520762880. Its totient is φ = 1648512000000.

The previous prime is 8275251599999. The next prime is 8275251600023. The reversal of 8275251600000 is 61525728.

It is a happy number.

8275251600000 is a `hidden beast` number, since 8 + 27 + 5 + 25 + 1 + 600 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 77338799947 + ... + 77338800053.

It is an arithmetic number, because the mean of its divisors is an integer number (10412896032).

Almost surely, 2^{8275251600000} is an apocalyptic number.

8275251600000 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 8275251600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19992760381440).

8275251600000 is an abundant number, since it is smaller than the sum of its proper divisors (31710269162880).

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

8275251600000 is a wasteful number, since it uses less digits than its factorization.

8275251600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 8275251600000 in words is "eight trillion, two hundred seventy-five billion, two hundred fifty-one million, six hundred thousand".