61488027348800 has 336 divisors, whose sum is σ = 163342713313920. Its totient is φ = 22646867189760.

The previous prime is 61488027348779. The next prime is 61488027348823. The reversal of 61488027348800 is 884372088416.

It is a super-2 number, since 2×61488027348800² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61488027348800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24217417931 + ... + 24217420469.

It is an arithmetic number, because the mean of its divisors is an integer number (486139027720).

Almost surely, 2^{61488027348800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61488027348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81671356656960).

61488027348800 is an abundant number, since it is smaller than the sum of its proper divisors (101854685965120).

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

61488027348800 is a wasteful number, since it uses less digits than its factorization.

61488027348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5010 (or 4995 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 59.

The spelling of 61488027348800 in words is "sixty-one trillion, four hundred eighty-eight billion, twenty-seven million, three hundred forty-eight thousand, eight hundred".