55580139546624 has 960 divisors, whose sum is σ = 211204545552000. Its totient is φ = 14436237312000.

The previous prime is 55580139546611. The next prime is 55580139546689. The reversal of 55580139546624 is 42664593108555.

55580139546624 is a `hidden beast` number, since 5 + 5 + 5 + 80 + 1 + 3 + 9 + 546 + 6 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 625851024 + ... + 625939824.

It is an arithmetic number, because the mean of its divisors is an integer number (220004734950).

Almost surely, 2^{55580139546624} is an apocalyptic number.

55580139546624 is a gapful number since it is divisible by the number (54) 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 55580139546624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105602272776000).

55580139546624 is an abundant number, since it is smaller than the sum of its proper divisors (155624406005376).

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

55580139546624 is an equidigital number, since it uses as much as digits as its factorization.

55580139546624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88867 (or 88824 counting only the distinct ones).

The product of its (nonzero) digits is 155520000, while the sum is 63.

The spelling of 55580139546624 in words is "fifty-five trillion, five hundred eighty billion, one hundred thirty-nine million, five hundred forty-six thousand, six hundred twenty-four".