5909339829456 has 160 divisors (see below), whose sum is σ = 20227968184320. Its totient is φ = 1614974841216.

The previous prime is 5909339829431. The next prime is 5909339829469. The reversal of 5909339829456 is 6549289339095.

5909339829456 is a `hidden beast` number, since 5 + 9 + 0 + 93 + 3 + 9 + 82 + 9 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42411900 + ... + 42551003.

It is an arithmetic number, because the mean of its divisors is an integer number (126424801152).

Almost surely, 2^{5909339829456} is an apocalyptic number.

5909339829456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5909339829456 is an abundant number, since it is smaller than the sum of its proper divisors (14318628354864).

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

5909339829456 is a wasteful number, since it uses less digits than its factorization.

5909339829456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84962950 (or 84962938 counting only the distinct ones).

The product of its (nonzero) digits is 566870400, while the sum is 72.

The spelling of 5909339829456 in words is "five trillion, nine hundred nine billion, three hundred thirty-nine million, eight hundred twenty-nine thousand, four hundred fifty-six".