8273257386240 has 1152 divisors, whose sum is σ = 34763671756800. Its totient is φ = 1625779077120.

The previous prime is 8273257386227. The next prime is 8273257386257. The reversal of 8273257386240 is 426837523728.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 605250126 + ... + 605263794.

It is an arithmetic number, because the mean of its divisors is an integer number (30176798400).

Almost surely, 2^{8273257386240} is an apocalyptic number.

8273257386240 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 8273257386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17381835878400).

8273257386240 is an abundant number, since it is smaller than the sum of its proper divisors (26490414370560).

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

8273257386240 is a wasteful number, since it uses less digits than its factorization.

8273257386240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13823 (or 13809 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 57.

The spelling of 8273257386240 in words is "eight trillion, two hundred seventy-three billion, two hundred fifty-seven million, three hundred eighty-six thousand, two hundred forty".