61057110865905 has 1024 divisors, whose sum is σ = 145864265564160. Its totient is φ = 23505218150400.

The previous prime is 61057110865871. The next prime is 61057110865963. The reversal of 61057110865905 is 50956801175016.

61057110865905 is a `hidden beast` number, since 6 + 1 + 0 + 571 + 1 + 0 + 8 + 65 + 9 + 0 + 5 = 666.

It is not a de Polignac number, because 61057110865905 - 2⁹ = 61057110865393 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 124352567710 + ... + 124352568200.

It is an arithmetic number, because the mean of its divisors is an integer number (142445571840).

Almost surely, 2^{61057110865905} is an apocalyptic number.

It is an amenable number.

61057110865905 is an abundant number, since it is smaller than the sum of its proper divisors (84807154698255).

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

61057110865905 is a wasteful number, since it uses less digits than its factorization.

61057110865905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 54.

The spelling of 61057110865905 in words is "sixty-one trillion, fifty-seven billion, one hundred ten million, eight hundred sixty-five thousand, nine hundred five".