59509409040 has 120 divisors (see below), whose sum is σ = 210371029440. Its totient is φ = 15033952512.

The previous prime is 59509408997. The next prime is 59509409077. The reversal of 59509409040 is 4090490595.

59509409040 is a `hidden beast` number, since 59 + 509 + 4 + 0 + 90 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2161372 + ... + 2188731.

It is an arithmetic number, because the mean of its divisors is an integer number (1753091912).

Almost surely, 2^59509409040 is an apocalyptic number.

It is an amenable number.

59509409040 is an abundant number, since it is smaller than the sum of its proper divisors (150861620400).

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

59509409040 is a wasteful number, since it uses less digits than its factorization.

59509409040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4350141 (or 4350132 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 59509409040 in words is "fifty-nine billion, five hundred nine million, four hundred nine thousand, forty".