8501806507040 has 384 divisors, whose sum is σ = 26571807295488. Its totient is φ = 2488667258880.

The previous prime is 8501806507013. The next prime is 8501806507121. The reversal of 8501806507040 is 407056081058.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 8501806506982 and 8501806507000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97765019 + ... + 97851941.

It is an arithmetic number, because the mean of its divisors is an integer number (69197414832).

Almost surely, 2^{8501806507040} is an apocalyptic number.

8501806507040 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 8501806507040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13285903647744).

8501806507040 is an abundant number, since it is smaller than the sum of its proper divisors (18070000788448).

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

8501806507040 is a wasteful number, since it uses less digits than its factorization.

8501806507040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87440 (or 87432 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 44.

The spelling of 8501806507040 in words is "eight trillion, five hundred one billion, eight hundred six million, five hundred seven thousand, forty".