55158749905077 has 400 divisors, whose sum is σ = 106716726837760. Its totient is φ = 28156185701280.

The previous prime is 55158749904913. The next prime is 55158749905079. The reversal of 55158749905077 is 77050994785155.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

55158749905077 is a `hidden beast` number, since 5 + 5 + 1 + 5 + 87 + 499 + 0 + 50 + 7 + 7 = 666.

It is not a de Polignac number, because 55158749905077 - 2¹² = 55158749900981 is a prime.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 55158749905077 = 9269³ + 37882³ = 25389³ + 33852³.

It is a junction number, because it is equal to n+sod(n) for n = 55158749904996 and 55158749905014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55158749905079) by changing a digit.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 1779314513052 + ... + 1779314513082.

Almost surely, 2^{55158749905077} is an apocalyptic number.

It is an amenable number.

55158749905077 is a deficient number, since it is larger than the sum of its proper divisors (51557976932683).

55158749905077 is an frugal number, since it uses more digits than its factorization.

55158749905077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 555660000, while the sum is 72.

The spelling of 55158749905077 in words is "fifty-five trillion, one hundred fifty-eight billion, seven hundred forty-nine million, nine hundred five thousand, seventy-seven".