55416641280 has 864 divisors, whose sum is σ = 239153886720. Its totient is φ = 10619781120.

The previous prime is 55416641263. The next prime is 55416641281. The reversal of 55416641280 is 8214661455.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55416641281) 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 95 ways as a sum of consecutive naturals, for example, 49969366 + ... + 49970474.

It is an arithmetic number, because the mean of its divisors is an integer number (276798480).

Almost surely, 2^55416641280 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 55416641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119576943360).

55416641280 is an abundant number, since it is smaller than the sum of its proper divisors (183737245440).

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

55416641280 is a wasteful number, since it uses less digits than its factorization.

55416641280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

It can be divided in two parts, 55416 and 641280, that added together give a palindrome (696696).

The spelling of 55416641280 in words is "fifty-five billion, four hundred sixteen million, six hundred forty-one thousand, two hundred eighty".