55432629504 has 576 divisors, whose sum is σ = 208860825600. Its totient is φ = 14117732352.

The previous prime is 55432629467. The next prime is 55432629529. The reversal of 55432629504 is 40592623455.

55432629504 is a `hidden beast` number, since 5 + 54 + 32 + 62 + 9 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 55432629504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15626259 + ... + 15629805.

It is an arithmetic number, because the mean of its divisors is an integer number (362605600).

Almost surely, 2^55432629504 is an apocalyptic number.

55432629504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55432629504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104430412800).

55432629504 is an abundant number, since it is smaller than the sum of its proper divisors (153428196096).

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

55432629504 is a wasteful number, since it uses less digits than its factorization.

55432629504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3615 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 55432629504 in words is "fifty-five billion, four hundred thirty-two million, six hundred twenty-nine thousand, five hundred four".