610086617088 has 544 divisors, whose sum is σ = 1955369606400. Its totient is φ = 167151403008.

The previous prime is 610086617081. The next prime is 610086617117. The reversal of 610086617088 is 880716680016.

It is a tau number, because it is divible by the number of its divisors (544).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 610086617088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610086617081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 825556623 + ... + 825557361.

Almost surely, 2^610086617088 is an apocalyptic number.

610086617088 is a gapful number since it is divisible by the number (68) 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 610086617088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977684803200).

610086617088 is an abundant number, since it is smaller than the sum of its proper divisors (1345282989312).

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

610086617088 is a wasteful number, since it uses less digits than its factorization.

610086617088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The spelling of 610086617088 in words is "six hundred ten billion, eighty-six million, six hundred seventeen thousand, eighty-eight".