57461984901 has 40 divisors (see below), whose sum is σ = 87158332800. Its totient is φ = 37720257120.

The previous prime is 57461984851. The next prime is 57461984929. The reversal of 57461984901 is 10948916475.

57461984901 is a `hidden beast` number, since 5 + 7 + 4 + 61 + 98 + 490 + 1 = 666.

It is not a de Polignac number, because 57461984901 - 2¹⁰ = 57461983877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57461984941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4819135 + ... + 4831043.

It is an arithmetic number, because the mean of its divisors is an integer number (2178958320).

Almost surely, 2^57461984901 is an apocalyptic number.

It is an amenable number.

57461984901 is a deficient number, since it is larger than the sum of its proper divisors (29696347899).

57461984901 is a wasteful number, since it uses less digits than its factorization.

57461984901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12831 (or 12822 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 57461984901 in words is "fifty-seven billion, four hundred sixty-one million, nine hundred eighty-four thousand, nine hundred one".