8611610488320 has 1280 divisors, whose sum is σ = 34343950417920. Its totient is φ = 1798239191040.

The previous prime is 8611610488253. The next prime is 8611610488321. The reversal of 8611610488320 is 238840161168.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8611610488320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8611610488321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30429718899 + ... + 30429719181.

It is an arithmetic number, because the mean of its divisors is an integer number (26831211264).

Almost surely, 2^{8611610488320} is an apocalyptic number.

8611610488320 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 8611610488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17171975208960).

8611610488320 is an abundant number, since it is smaller than the sum of its proper divisors (25732339929600).

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

8611610488320 is an equidigital number, since it uses as much as digits as its factorization.

8611610488320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 8611610488320 in words is "eight trillion, six hundred eleven billion, six hundred ten million, four hundred eighty-eight thousand, three hundred twenty".