61088065600 has 189 divisors, whose sum is σ = 155417795463. Its totient is φ = 23632450560.

The previous prime is 61088065561. The next prime is 61088065603. The reversal of 61088065600 is 656088016.

It is a happy number.

The square root of 61088065600 is 247160.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5799127104 + 55288938496 = 76152^2 + 235136^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61088065603) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 365796717 + ... + 365796883.

Almost surely, 2^61088065600 is an apocalyptic number.

61088065600 is the 247160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61088065600

61088065600 is an abundant number, since it is smaller than the sum of its proper divisors (94329729863).

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

61088065600 is an equidigital number, since it uses as much as digits as its factorization.

61088065600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

It can be divided in two parts, 6108 and 8065600, that added together give a palindrome (8071708).

The spelling of 61088065600 in words is "sixty-one billion, eighty-eight million, sixty-five thousand, six hundred".