61600414007200 has 72 divisors (see below), whose sum is σ = 153219407228748. Its totient is φ = 24175256801280.

The previous prime is 61600414007161. The next prime is 61600414007267. The reversal of 61600414007200 is 270041400616.

It can be written as a sum of positive squares in 6 ways, for example, as 35569152864144 + 26031261143056 = 5963988^2 + 5102084^2 .

It is a super-2 number, since 2×61600414007200² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 726377577 + ... + 726462376.

Almost surely, 2^{61600414007200} is an apocalyptic number.

It is an amenable number.

61600414007200 is an abundant number, since it is smaller than the sum of its proper divisors (91618993221548).

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

61600414007200 is a wasteful number, since it uses less digits than its factorization.

61600414007200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452840026 (or 1452840013 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

Adding to 61600414007200 its reverse (270041400616), we get a palindrome (61870455407816).

The spelling of 61600414007200 in words is "sixty-one trillion, six hundred billion, four hundred fourteen million, seven thousand, two hundred".