61180438620 has 288 divisors, whose sum is σ = 208496332800. Its totient is φ = 13351511040.

The previous prime is 61180438609. The next prime is 61180438637. The reversal of 61180438620 is 2683408116.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5659981 + ... + 5670779.

It is an arithmetic number, because the mean of its divisors is an integer number (723945600).

Almost surely, 2^61180438620 is an apocalyptic number.

61180438620 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 61180438620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104248166400).

61180438620 is an abundant number, since it is smaller than the sum of its proper divisors (147315894180).

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

61180438620 is a wasteful number, since it uses less digits than its factorization.

61180438620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10913 (or 10904 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 61180438620 in words is "sixty-one billion, one hundred eighty million, four hundred thirty-eight thousand, six hundred twenty".