61039418880 has 320 divisors, whose sum is σ = 217418370048. Its totient is φ = 14481653760.

The previous prime is 61039418873. The next prime is 61039418887. The reversal of 61039418880 is 8881493016.

It is an interprime number because it is at equal distance from previous prime (61039418873) and next prime (61039418887).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61039418887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3962874 + ... + 3978246.

Almost surely, 2^61039418880 is an apocalyptic number.

61039418880 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 61039418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108709185024).

61039418880 is an abundant number, since it is smaller than the sum of its proper divisors (156378951168).

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

61039418880 is a wasteful number, since it uses less digits than its factorization.

61039418880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15457 (or 15441 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 61039418880 in words is "sixty-one billion, thirty-nine million, four hundred eighteen thousand, eight hundred eighty".