55360502406240 has 384 divisors, whose sum is σ = 187508329021440. Its totient is φ = 13685397239808.

The previous prime is 55360502406229. The next prime is 55360502406241. The reversal of 55360502406240 is 4260420506355.

It is a junction number, because it is equal to n+sod(n) for n = 55360502406192 and 55360502406201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55360502406241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2694849409 + ... + 2694869951.

It is an arithmetic number, because the mean of its divisors is an integer number (488302940160).

Almost surely, 2^{55360502406240} 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 55360502406240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93754164510720).

55360502406240 is an abundant number, since it is smaller than the sum of its proper divisors (132147826615200).

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

55360502406240 is a wasteful number, since it uses less digits than its factorization.

55360502406240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26914 (or 26906 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 55360502406240 in words is "fifty-five trillion, three hundred sixty billion, five hundred two million, four hundred six thousand, two hundred forty".