61300032411600 has 150 divisors (see below), whose sum is σ = 220000897303110. Its totient is φ = 16346675301120.

The previous prime is 61300032411587. The next prime is 61300032411643. The reversal of 61300032411600 is 611423000316.

61300032411600 is a `hidden beast` number, since 6 + 1 + 30 + 0 + 0 + 3 + 24 + 1 + 1 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 18039999011904 + 43260033399696 = 4247352^2 + 6577236^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 945955755 + ... + 946020554.

Almost surely, 2^{61300032411600} is an apocalyptic number.

61300032411600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61300032411600 is an abundant number, since it is smaller than the sum of its proper divisors (158700864891510).

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

61300032411600 is a wasteful number, since it uses less digits than its factorization.

61300032411600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891976339 (or 1891976319 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 61300032411600 its reverse (611423000316), we get a palindrome (61911455411916).

The spelling of 61300032411600 in words is "sixty-one trillion, three hundred billion, thirty-two million, four hundred eleven thousand, six hundred".