55129536 has 252 divisors, whose sum is σ = 200259696. Its totient is φ = 14192640.

The previous prime is 55129531. The next prime is 55129559. The reversal of 55129536 is 63592155.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 55129536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55129531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 487816 + ... + 487928.

Almost surely, 2^55129536 is an apocalyptic number.

55129536 is a gapful number since it is divisible by the number (56) 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 55129536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100129848).

55129536 is an abundant number, since it is smaller than the sum of its proper divisors (145130160).

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

55129536 is a wasteful number, since it uses less digits than its factorization.

55129536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 136 counting only the distinct ones).

The product of its digits is 40500, while the sum is 36.

The square root of 55129536 is about 7424.9266663045. The cubic root of 55129536 is about 380.5935691163.

The spelling of 55129536 in words is "fifty-five million, one hundred twenty-nine thousand, five hundred thirty-six".