55413120 has 384 divisors, whose sum is σ = 223257600. Its totient is φ = 11612160.

The previous prime is 55413119. The next prime is 55413121. The reversal of 55413120 is 2131455.

It is an interprime number because it is at equal distance from previous prime (55413119) and next prime (55413121).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×55413120² = 6141227736268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55413121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1787505 + ... + 1787535.

It is an arithmetic number, because the mean of its divisors is an integer number (581400).

Almost surely, 2^55413120 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 55413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111628800).

55413120 is an abundant number, since it is smaller than the sum of its proper divisors (167844480).

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

55413120 is a wasteful number, since it uses less digits than its factorization.

55413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 55413120 is about 7443.9989253089. The cubic root of 55413120 is about 381.2450390826.

Adding to 55413120 its reverse (2131455), we get a palindrome (57544575).

The spelling of 55413120 in words is "fifty-five million, four hundred thirteen thousand, one hundred twenty".