61007893980 has 192 divisors, whose sum is σ = 193090093056. Its totient is φ = 14258592000.

The previous prime is 61007893979. The next prime is 61007893981. The reversal of 61007893980 is 8939870016.

It is an interprime number because it is at equal distance from previous prime (61007893979) and next prime (61007893981).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61007893981) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5539159 + ... + 5550161.

It is an arithmetic number, because the mean of its divisors is an integer number (1005677568).

Almost surely, 2^61007893980 is an apocalyptic number.

61007893980 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 61007893980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96545046528).

61007893980 is an abundant number, since it is smaller than the sum of its proper divisors (132082199076).

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

61007893980 is a wasteful number, since it uses less digits than its factorization.

61007893980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11328 (or 11326 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 61007893980 in words is "sixty-one billion, seven million, eight hundred ninety-three thousand, nine hundred eighty".