55359980582401 has 48 divisors (see below), whose sum is σ = 64235486246400. Its totient is φ = 47601215742080.

The previous prime is 55359980582359. The next prime is 55359980582407. The reversal of 55359980582401 is 10428508995355.

It is not a de Polignac number, because 55359980582401 - 2¹⁷ = 55359980451329 is a prime.

It is a hoax number, since the sum of its digits (64) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55359980582407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120097080 + ... + 120557158.

It is an arithmetic number, because the mean of its divisors is an integer number (1338239296800).

Almost surely, 2^{55359980582401} is an apocalyptic number.

It is an amenable number.

55359980582401 is a deficient number, since it is larger than the sum of its proper divisors (8875505663999).

55359980582401 is a wasteful number, since it uses less digits than its factorization.

55359980582401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460830 (or 460819 counting only the distinct ones).

The product of its (nonzero) digits is 77760000, while the sum is 64.

The spelling of 55359980582401 in words is "fifty-five trillion, three hundred fifty-nine billion, nine hundred eighty million, five hundred eighty-two thousand, four hundred one".