61320056000 has 224 divisors, whose sum is σ = 174741840000. Its totient is φ = 20880076800.

The previous prime is 61320055999. The next prime is 61320056033. The reversal of 61320056000 is 65002316.

61320056000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8340326 + ... + 8347674.

It is an arithmetic number, because the mean of its divisors is an integer number (780097500).

Almost surely, 2^61320056000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61320056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87370920000).

61320056000 is an abundant number, since it is smaller than the sum of its proper divisors (113421784000).

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

61320056000 is a wasteful number, since it uses less digits than its factorization.

61320056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7532 (or 7512 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

Adding to 61320056000 its reverse (65002316), we get a palindrome (61385058316).

The spelling of 61320056000 in words is "sixty-one billion, three hundred twenty million, fifty-six thousand".