8307872151040 has 640 divisors, whose sum is σ = 25872984023040. Its totient is φ = 2482746163200.

The previous prime is 8307872151013. The next prime is 8307872151043. The reversal of 8307872151040 is 401512787038.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8307872151043) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 666062244 + ... + 666074716.

It is an arithmetic number, because the mean of its divisors is an integer number (40426537536).

Almost surely, 2^{8307872151040} is an apocalyptic number.

8307872151040 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 8307872151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12936492011520).

8307872151040 is an abundant number, since it is smaller than the sum of its proper divisors (17565111872000).

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

8307872151040 is a wasteful number, since it uses less digits than its factorization.

8307872151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12654 (or 12638 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 46.

The spelling of 8307872151040 in words is "eight trillion, three hundred seven billion, eight hundred seventy-two million, one hundred fifty-one thousand, forty".