61300032411552 has 288 divisors, whose sum is σ = 183898833148800. Its totient is φ = 17844162631680.

The previous prime is 61300032411539. The next prime is 61300032411587. The reversal of 61300032411552 is 25511423000316.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65900349 + ... + 66824067.

It is an arithmetic number, because the mean of its divisors is an integer number (638537615100).

Almost surely, 2^{61300032411552} 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 61300032411552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91949416574400).

61300032411552 is an abundant number, since it is smaller than the sum of its proper divisors (122598800737248).

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

61300032411552 is a wasteful number, since it uses less digits than its factorization.

61300032411552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923980 (or 923961 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 61300032411552 its reverse (25511423000316), we get a palindrome (86811455411868).

The spelling of 61300032411552 in words is "sixty-one trillion, three hundred billion, thirty-two million, four hundred eleven thousand, five hundred fifty-two".