8276248535040 has 1120 divisors, whose sum is σ = 33073093437120. Its totient is φ = 1967596240896.

The previous prime is 8276248535039. The next prime is 8276248535081. The reversal of 8276248535040 is 405358426728.

8276248535040 is a `hidden beast` number, since 8 + 2 + 7 + 6 + 248 + 5 + 350 + 40 = 666.

It is a super-2 number, since 2×8276248535040² (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 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 79 ways as a sum of consecutive naturals, for example, 1071632619 + ... + 1071640341.

Almost surely, 2^{8276248535040} is an apocalyptic number.

8276248535040 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 8276248535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16536546718560).

8276248535040 is an abundant number, since it is smaller than the sum of its proper divisors (24796844902080).

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

8276248535040 is a wasteful number, since it uses less digits than its factorization.

8276248535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7802 (or 7769 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 8276248535040 in words is "eight trillion, two hundred seventy-six billion, two hundred forty-eight million, five hundred thirty-five thousand, forty".