61457200600 has 96 divisors (see below), whose sum is σ = 150897841920. Its totient is φ = 23230613120.

The previous prime is 61457200583. The next prime is 61457200621. The reversal of 61457200600 is 600275416.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 301317 + ... + 462283.

It is an arithmetic number, because the mean of its divisors is an integer number (1571852520).

Almost surely, 2^61457200600 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 61457200600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75448920960).

61457200600 is an abundant number, since it is smaller than the sum of its proper divisors (89440641320).

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

61457200600 is a wasteful number, since it uses less digits than its factorization.

61457200600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161089 (or 161080 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 61457200600 in words is "sixty-one billion, four hundred fifty-seven million, two hundred thousand, six hundred".