55542669466752 has 512 divisors, whose sum is σ = 177468984000000. Its totient is φ = 17000158445568.

The previous prime is 55542669466733. The next prime is 55542669466859. The reversal of 55542669466752 is 25766496624555.

55542669466752 is a `hidden beast` number, since 5 + 5 + 5 + 426 + 6 + 94 + 6 + 67 + 52 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6883459774 + ... + 6883467842.

It is an arithmetic number, because the mean of its divisors is an integer number (346619109375).

Almost surely, 2^{55542669466752} is an apocalyptic number.

55542669466752 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 55542669466752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88734492000000).

55542669466752 is an abundant number, since it is smaller than the sum of its proper divisors (121926314533248).

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

55542669466752 is a wasteful number, since it uses less digits than its factorization.

55542669466752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8893 (or 8875 counting only the distinct ones).

The product of its digits is 3265920000, while the sum is 72.

The spelling of 55542669466752 in words is "fifty-five trillion, five hundred forty-two billion, six hundred sixty-nine million, four hundred sixty-six thousand, seven hundred fifty-two".