61323310080 has 264 divisors, whose sum is σ = 214382260872. Its totient is φ = 16206790656.

The previous prime is 61323310057. The next prime is 61323310099. The reversal of 61323310080 is 8001332316.

It is a happy number.

61323310080 is a `hidden beast` number, since 613 + 2 + 33 + 10 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 594579456 + 60728730624 = 24384^2 + 246432^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5201152 + ... + 5212928.

Almost surely, 2^61323310080 is an apocalyptic number.

61323310080 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 61323310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107191130436).

61323310080 is an abundant number, since it is smaller than the sum of its proper divisors (153058950792).

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

61323310080 is a wasteful number, since it uses less digits than its factorization.

61323310080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11921 (or 11900 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 61323310080 its reverse (8001332316), we get a palindrome (69324642396).

The spelling of 61323310080 in words is "sixty-one billion, three hundred twenty-three million, three hundred ten thousand, eighty".