55106586762240 has 1408 divisors, whose sum is σ = 206799796224000. Its totient is φ = 12412444999680.

The previous prime is 55106586762239. The next prime is 55106586762259. The reversal of 55106586762240 is 4226768560155.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12671091586 + ... + 12671095934.

Almost surely, 2^{55106586762240} 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 55106586762240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103399898112000).

55106586762240 is an abundant number, since it is smaller than the sum of its proper divisors (151693209461760).

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

55106586762240 is a wasteful number, since it uses less digits than its factorization.

55106586762240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4533 (or 4515 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 57.

The spelling of 55106586762240 in words is "fifty-five trillion, one hundred six billion, five hundred eighty-six million, seven hundred sixty-two thousand, two hundred forty".