610506054990 has 160 divisors (see below), whose sum is σ = 1772279441856. Its totient is φ = 149902617600.

The previous prime is 610506054967. The next prime is 610506055073. The reversal of 610506054990 is 99450605016.

It is a happy number.

610506054990 is a `hidden beast` number, since 6 + 1 + 0 + 506 + 0 + 54 + 9 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4150239 + ... + 4294821.

Almost surely, 2^610506054990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 610506054990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886139720928).

610506054990 is an abundant number, since it is smaller than the sum of its proper divisors (1161773386866).

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

610506054990 is a wasteful number, since it uses less digits than its factorization.

610506054990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145016 (or 145007 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 610506054990 in words is "six hundred ten billion, five hundred six million, fifty-four thousand, nine hundred ninety".