78575875042401 has 16 divisors (see below), whose sum is σ = 126991313200320. Its totient is φ = 47621742449760.

The previous prime is 78575875042363. The next prime is 78575875042447. The reversal of 78575875042401 is 10424057857587.

78575875042401 is a `hidden beast` number, since 7 + 8 + 5 + 7 + 5 + 87 + 504 + 2 + 40 + 1 = 666.

It is not a de Polignac number, because 78575875042401 - 2¹⁷ = 78575874911329 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (78575875042451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132282617620 + ... + 132282618213.

It is an arithmetic number, because the mean of its divisors is an integer number (7936957075020).

Almost surely, 2^{78575875042401} is an apocalyptic number.

It is an amenable number.

78575875042401 is a deficient number, since it is larger than the sum of its proper divisors (48415438157919).

78575875042401 is a wasteful number, since it uses less digits than its factorization.

78575875042401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264565235853 (or 264565235847 counting only the distinct ones).

The product of its (nonzero) digits is 87808000, while the sum is 63.

The spelling of 78575875042401 in words is "seventy-eight trillion, five hundred seventy-five billion, eight hundred seventy-five million, forty-two thousand, four hundred one".