55145335520 has 192 divisors, whose sum is σ = 149840409600. Its totient is φ = 18967541760.

The previous prime is 55145335519. The next prime is 55145335549. The reversal of 55145335520 is 2553354155.

55145335520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×55145335520² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37084217 + ... + 37085703.

It is an arithmetic number, because the mean of its divisors is an integer number (780418800).

Almost surely, 2^55145335520 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 55145335520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74920204800).

55145335520 is an abundant number, since it is smaller than the sum of its proper divisors (94695074080).

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

55145335520 is a wasteful number, since it uses less digits than its factorization.

55145335520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2641 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 225000, while the sum is 38.

Adding to 55145335520 its reverse (2553354155), we get a palindrome (57698689675).

The spelling of 55145335520 in words is "fifty-five billion, one hundred forty-five million, three hundred thirty-five thousand, five hundred twenty".