57661545431060 has 96 divisors (see below), whose sum is σ = 125682278400000. Its totient is φ = 22210406015616.

The previous prime is 57661545431057. The next prime is 57661545431071. The reversal of 57661545431060 is 6013454516675.

57661545431060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×57661545431060² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57661545430993 and 57661545431011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9403691 + ... + 14274189.

It is an arithmetic number, because the mean of its divisors is an integer number (1309190400000).

Almost surely, 2^{57661545431060} is an apocalyptic number.

It is an amenable number.

57661545431060 is an abundant number, since it is smaller than the sum of its proper divisors (68020732968940).

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

57661545431060 is a wasteful number, since it uses less digits than its factorization.

57661545431060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4870773 (or 4870771 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 53.

The spelling of 57661545431060 in words is "fifty-seven trillion, six hundred sixty-one billion, five hundred forty-five million, four hundred thirty-one thousand, sixty".