61745508525600 has 2592 divisors, whose sum is σ = 257469662136960. Its totient is φ = 13832714649600.

The previous prime is 61745508525599. The next prime is 61745508525611. The reversal of 61745508525600 is 652580554716.

61745508525600 is a `hidden beast` number, since 6 + 1 + 7 + 4 + 5 + 5 + 0 + 8 + 5 + 25 + 600 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 78456808407 + ... + 78456809193.

It is an arithmetic number, because the mean of its divisors is an integer number (99332431380).

Almost surely, 2^{61745508525600} is an apocalyptic number.

61745508525600 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 61745508525600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128734831068480).

61745508525600 is an abundant number, since it is smaller than the sum of its proper divisors (195724153611360).

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

61745508525600 is a wasteful number, since it uses less digits than its factorization.

61745508525600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 54.

The spelling of 61745508525600 in words is "sixty-one trillion, seven hundred forty-five billion, five hundred eight million, five hundred twenty-five thousand, six hundred".