61533523497600 has 960 divisors, whose sum is σ = 283103136043200. Its totient is φ = 12786182553600.

The previous prime is 61533523497599. The next prime is 61533523497623. The reversal of 61533523497600 is 679432533516.

61533523497600 is a `hidden beast` number, since 6 + 1 + 5 + 3 + 3 + 5 + 23 + 4 + 9 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18416856 + ... + 21499944.

It is an arithmetic number, because the mean of its divisors is an integer number (294899100045).

Almost surely, 2^{61533523497600} is an apocalyptic number.

61533523497600 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 61533523497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141551568021600).

61533523497600 is an abundant number, since it is smaller than the sum of its proper divisors (221569612545600).

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

61533523497600 is a wasteful number, since it uses less digits than its factorization.

61533523497600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3083143 (or 3083117 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 61533523497600 in words is "sixty-one trillion, five hundred thirty-three billion, five hundred twenty-three million, four hundred ninety-seven thousand, six hundred".