54155532288 has 384 divisors, whose sum is σ = 172969655040. Its totient is φ = 14849802240.

The previous prime is 54155532283. The next prime is 54155532317. The reversal of 54155532288 is 88223555145.

It is a happy number.

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

It is a super-2 number, since 2×54155532288² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54155532283) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 46564795 + ... + 46565957.

It is an arithmetic number, because the mean of its divisors is an integer number (450441810).

Almost surely, 2^54155532288 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 54155532288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86484827520).

54155532288 is an abundant number, since it is smaller than the sum of its proper divisors (118814122752).

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

54155532288 is a wasteful number, since it uses less digits than its factorization.

54155532288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1245 counting only the distinct ones).

The product of its digits is 1920000, while the sum is 48.

The spelling of 54155532288 in words is "fifty-four billion, one hundred fifty-five million, five hundred thirty-two thousand, two hundred eighty-eight".