55516032 has 192 divisors, whose sum is σ = 188238960. Its totient is φ = 15482880.

The previous prime is 55516003. The next prime is 55516049. The reversal of 55516032 is 23061555.

55516032 is a `hidden beast` number, since 5 + 5 + 51 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 55515987 and 55516005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164568 + ... + 164904.

Almost surely, 2^55516032 is an apocalyptic number.

55516032 is a gapful number since it is divisible by the number (52) 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 55516032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94119480).

55516032 is an abundant number, since it is smaller than the sum of its proper divisors (132722928).

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

55516032 is a wasteful number, since it uses less digits than its factorization.

55516032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 55516032 is about 7450.9081325702. The cubic root of 55516032 is about 381.4809063640.

Adding to 55516032 its reverse (23061555), we get a palindrome (78577587).

The spelling of 55516032 in words is "fifty-five million, five hundred sixteen thousand, thirty-two".