55131678720 has 288 divisors, whose sum is σ = 191952633600. Its totient is φ = 14634418176.

The previous prime is 55131678713. The next prime is 55131678739. The reversal of 55131678720 is 2787613155.

It is a happy number.

55131678720 is a `hidden beast` number, since 5 + 513 + 1 + 67 + 8 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22024989 + ... + 22027491.

It is an arithmetic number, because the mean of its divisors is an integer number (666502200).

Almost surely, 2^55131678720 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 55131678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95976316800).

55131678720 is an abundant number, since it is smaller than the sum of its proper divisors (136820954880).

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

55131678720 is a wasteful number, since it uses less digits than its factorization.

55131678720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

It can be divided in two parts, 551316 and 78720, that added together give a palindrome (630036).

The spelling of 55131678720 in words is "fifty-five billion, one hundred thirty-one million, six hundred seventy-eight thousand, seven hundred twenty".