610505610000 has 800 divisors, whose sum is σ = 2339921485440. Its totient is φ = 135168000000.

The previous prime is 610505609999. The next prime is 610505610007. The reversal of 610505610000 is 16505016.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (610505610007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 433289296 + ... + 433290704.

Almost surely, 2^610505610000 is an apocalyptic number.

610505610000 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 610505610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169960742720).

610505610000 is an abundant number, since it is smaller than the sum of its proper divisors (1729415875440).

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

610505610000 is a wasteful number, since it uses less digits than its factorization.

610505610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 610505610000 in words is "six hundred ten billion, five hundred five million, six hundred ten thousand".