55533520 has 80 divisors (see below), whose sum is σ = 148883328. Its totient is φ = 18869760.

The previous prime is 55533479. The next prime is 55533529. The reversal of 55533520 is 2533555.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55533529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72982 + ... + 73738.

Almost surely, 2^55533520 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 55533520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74441664).

55533520 is an abundant number, since it is smaller than the sum of its proper divisors (93349808).

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

55533520 is a wasteful number, since it uses less digits than its factorization.

55533520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 11250, while the sum is 28.

The square root of 55533520 is about 7452.0815883886. The cubic root of 55533520 is about 381.5209586844.

It can be divided in two parts, 5 and 5533520, that multiplied together give a square (27667600 = 5260²).

The spelling of 55533520 in words is "fifty-five million, five hundred thirty-three thousand, five hundred twenty".