61742045585100 has 72 divisors (see below), whose sum is σ = 181668120621120. Its totient is φ = 16185485391680.

The previous prime is 61742045585081. The next prime is 61742045585113. The reversal of 61742045585100 is 158554024716.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 61742045585100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1744107882 + ... + 1744143281.

It is an arithmetic number, because the mean of its divisors is an integer number (2523168341960).

Almost surely, 2^{61742045585100} is an apocalyptic number.

61742045585100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61742045585100 is an abundant number, since it is smaller than the sum of its proper divisors (119926075036020).

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

61742045585100 is a wasteful number, since it uses less digits than its factorization.

61742045585100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3488251239 (or 3488251232 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 48.

The spelling of 61742045585100 in words is "sixty-one trillion, seven hundred forty-two billion, forty-five million, five hundred eighty-five thousand, one hundred".