55106549765280 has 2304 divisors, whose sum is σ = 222781217218560. Its totient is φ = 12772391288832.

The previous prime is 55106549765251. The next prime is 55106549765339. The reversal of 55106549765280 is 8256794560155.

55106549765280 is a `hidden beast` number, since 5 + 5 + 1 + 0 + 6 + 5 + 497 + 65 + 2 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 74569079151 + ... + 74569079889.

It is an arithmetic number, because the mean of its divisors is an integer number (96693236640).

Almost surely, 2^{55106549765280} 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 55106549765280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111390608609280).

55106549765280 is an abundant number, since it is smaller than the sum of its proper divisors (167674667453280).

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

55106549765280 is a wasteful number, since it uses less digits than its factorization.

55106549765280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 90720000, while the sum is 63.

The spelling of 55106549765280 in words is "fifty-five trillion, one hundred six billion, five hundred forty-nine million, seven hundred sixty-five thousand, two hundred eighty".