610125404160 has 192 divisors, whose sum is σ = 2019235327200. Its totient is φ = 157089529856.

The previous prime is 610125404137. The next prime is 610125404219. The reversal of 610125404160 is 61404521016.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 548452 + ... + 1233308.

Almost surely, 2^610125404160 is an apocalyptic number.

610125404160 is a gapful number since it is divisible by the number (60) 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 610125404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009617663600).

610125404160 is an abundant number, since it is smaller than the sum of its proper divisors (1409109923040).

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

610125404160 is a wasteful number, since it uses less digits than its factorization.

610125404160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684916 (or 684896 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 610125404160 its reverse (61404521016), we get a palindrome (671529925176).

The spelling of 610125404160 in words is "six hundred ten billion, one hundred twenty-five million, four hundred four thousand, one hundred sixty".