61345527400 has 24 divisors (see below), whose sum is σ = 142628351670. Its totient is φ = 24538210880.

The previous prime is 61345527301. The next prime is 61345527403. The reversal of 61345527400 is 472554316.

61345527400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 37949377636 + 23396149764 = 194806^2 + 152958^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 61345527400.

It is not an unprimeable number, because it can be changed into a prime (61345527403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 153363619 + ... + 153364018.

Almost surely, 2^61345527400 is an apocalyptic number.

It is an amenable number.

61345527400 is an abundant number, since it is smaller than the sum of its proper divisors (81282824270).

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

61345527400 is a wasteful number, since it uses less digits than its factorization.

61345527400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306727653 (or 306727644 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The spelling of 61345527400 in words is "sixty-one billion, three hundred forty-five million, five hundred twenty-seven thousand, four hundred".