55156264416 has 648 divisors, whose sum is σ = 187773591096. Its totient is φ = 15909696000.

The previous prime is 55156264403. The next prime is 55156264417. The reversal of 55156264416 is 61446265155.

55156264416 is a `hidden beast` number, since 5 + 5 + 1 + 5 + 626 + 4 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

Its product of digits (864000) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55156264417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 904201026 + ... + 904201086.

Almost surely, 2^55156264416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55156264416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93886795548).

55156264416 is an abundant number, since it is smaller than the sum of its proper divisors (132617326680).

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

55156264416 is a wasteful number, since it uses less digits than its factorization.

55156264416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 108 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The spelling of 55156264416 in words is "fifty-five billion, one hundred fifty-six million, two hundred sixty-four thousand, four hundred sixteen".