61224848885760 has 768 divisors, whose sum is σ = 225218888294400. Its totient is φ = 13909131264000.

The previous prime is 61224848885723. The next prime is 61224848885773. The reversal of 61224848885760 is 6758884842216.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42194933035 + ... + 42194934485.

It is an arithmetic number, because the mean of its divisors is an integer number (293253760800).

Almost surely, 2^{61224848885760} is an apocalyptic number.

61224848885760 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 61224848885760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112609444147200).

61224848885760 is an abundant number, since it is smaller than the sum of its proper divisors (163994039408640).

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

61224848885760 is a wasteful number, since it uses less digits than its factorization.

61224848885760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2548 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 330301440, while the sum is 69.

The spelling of 61224848885760 in words is "sixty-one trillion, two hundred twenty-four billion, eight hundred forty-eight million, eight hundred eighty-five thousand, seven hundred sixty".