8036531566560 has 768 divisors, whose sum is σ = 33352306606080. Its totient is φ = 1768601640960.

The previous prime is 8036531566537. The next prime is 8036531566603. The reversal of 8036531566560 is 656651356308.

It is a happy number.

8036531566560 is a `hidden beast` number, since 8 + 0 + 3 + 6 + 5 + 3 + 15 + 66 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8036531566497 and 8036531566506.

It is a congruent number.

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, 184653922 + ... + 184697438.

It is an arithmetic number, because the mean of its divisors is an integer number (43427482560).

Almost surely, 2^{8036531566560} is an apocalyptic number.

8036531566560 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 8036531566560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16676153303040).

8036531566560 is an abundant number, since it is smaller than the sum of its proper divisors (25315775039520).

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

8036531566560 is a wasteful number, since it uses less digits than its factorization.

8036531566560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43776 (or 43762 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 8036531566560 in words is "eight trillion, thirty-six billion, five hundred thirty-one million, five hundred sixty-six thousand, five hundred sixty".