61057366600 has 96 divisors (see below), whose sum is σ = 150415763400. Its totient is φ = 22969958400.

The previous prime is 61057366547. The next prime is 61057366607. The reversal of 61057366600 is 666375016.

It can be written as a sum of positive squares in 12 ways, for example, as 9143566884 + 51913799716 = 95622^2 + 227846^2 .

It is a super-2 number, since 2×61057366600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (61057366607) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5465020 + ... + 5476180.

Almost surely, 2^61057366600 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 61057366600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75207881700).

61057366600 is an abundant number, since it is smaller than the sum of its proper divisors (89358396800).

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

61057366600 is a wasteful number, since it uses less digits than its factorization.

61057366600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12803 (or 12794 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The spelling of 61057366600 in words is "sixty-one billion, fifty-seven million, three hundred sixty-six thousand, six hundred".