55624524032 has 360 divisors, whose sum is σ = 149085353760. Its totient is φ = 20483850240.

The previous prime is 55624524029. The next prime is 55624524061. The reversal of 55624524032 is 23042542655.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 128462888 + ... + 128463320.

Almost surely, 2^55624524032 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 55624524032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74542676880).

55624524032 is an abundant number, since it is smaller than the sum of its proper divisors (93460829728).

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

55624524032 is an equidigital number, since it uses as much as digits as its factorization.

55624524032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 38.

The spelling of 55624524032 in words is "fifty-five billion, six hundred twenty-four million, five hundred twenty-four thousand, thirty-two".