8083508649600 has 768 divisors, whose sum is σ = 28661695534080. Its totient is φ = 1995115069440.

The previous prime is 8083508649589. The next prime is 8083508649641. The reversal of 8083508649600 is 69468053808.

It is a super-2 number, since 2×8083508649600² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5158588017 + ... + 5158589583.

It is an arithmetic number, because the mean of its divisors is an integer number (37319916060).

Almost surely, 2^{8083508649600} is an apocalyptic number.

8083508649600 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 8083508649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14330847767040).

8083508649600 is an abundant number, since it is smaller than the sum of its proper divisors (20578186884480).

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

8083508649600 is a wasteful number, since it uses less digits than its factorization.

8083508649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 8083508649600 in words is "eight trillion, eighty-three billion, five hundred eight million, six hundred forty-nine thousand, six hundred".