55627781987232 has 1728 divisors, whose sum is σ = 209790859299840. Its totient is φ = 13610640605184.

The previous prime is 55627781987231. The next prime is 55627781987249. The reversal of 55627781987232 is 23278918772655.

It is a happy number.

55627781987232 is a `hidden beast` number, since 556 + 27 + 7 + 8 + 19 + 8 + 7 + 2 + 32 = 666.

It is a super-2 number, since 2×55627781987232² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (55627781987231) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 165067602168 + ... + 165067602504.

It is an arithmetic number, because the mean of its divisors is an integer number (121406747280).

Almost surely, 2^{55627781987232} is an apocalyptic number.

55627781987232 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55627781987232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104895429649920).

55627781987232 is an abundant number, since it is smaller than the sum of its proper divisors (154163077312608).

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

55627781987232 is a wasteful number, since it uses less digits than its factorization.

55627781987232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 693 counting only the distinct ones).

The product of its digits is 711244800, while the sum is 72.

The spelling of 55627781987232 in words is "fifty-five trillion, six hundred twenty-seven billion, seven hundred eighty-one million, nine hundred eighty-seven thousand, two hundred thirty-two".