61349882880 has 1408 divisors, whose sum is σ = 256716988416. Its totient is φ = 12268339200.

The previous prime is 61349882813. The next prime is 61349882917. The reversal of 61349882880 is 8828894316.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a self number, because there is not a number n which added to its sum of digits gives 61349882880.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1157544934 + ... + 1157544986.

Almost surely, 2^61349882880 is an apocalyptic number.

61349882880 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 61349882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128358494208).

61349882880 is an abundant number, since it is smaller than the sum of its proper divisors (195367105536).

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

61349882880 is a wasteful number, since it uses less digits than its factorization.

61349882880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 57.

The spelling of 61349882880 in words is "sixty-one billion, three hundred forty-nine million, eight hundred eighty-two thousand, eight hundred eighty".