61600011600 has 120 divisors (see below), whose sum is σ = 197383741632. Its totient is φ = 16421811200.

The previous prime is 61600011553. The next prime is 61600011607. The reversal of 61600011600 is 611000616.

61600011600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×61600011600² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61600011607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6092149 + ... + 6102251.

Almost surely, 2^61600011600 is an apocalyptic number.

61600011600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61600011600 is an abundant number, since it is smaller than the sum of its proper divisors (135783730032).

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

61600011600 is a wasteful number, since it uses less digits than its factorization.

61600011600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15205 (or 15194 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The spelling of 61600011600 in words is "sixty-one billion, six hundred million, eleven thousand, six hundred".