55350544505355 has 128 divisors (see below), whose sum is σ = 108724436352000. Its totient is φ = 26492649845760.

The previous prime is 55350544505351. The next prime is 55350544505447.

55350544505355 is a `hidden beast` number, since 5 + 5 + 3 + 5 + 0 + 54 + 4 + 50 + 535 + 5 = 666.

55350544505355 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55350544505355 - 2² = 55350544505351 is a prime.

It is not an unprimeable number, because it can be changed into a prime (55350544505351) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 158701501 + ... + 159049889.

It is an arithmetic number, because the mean of its divisors is an integer number (849409659000).

Almost surely, 2^{55350544505355} is an apocalyptic number.

55350544505355 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55350544505355 is a deficient number, since it is larger than the sum of its proper divisors (53373891846645).

55350544505355 is a wasteful number, since it uses less digits than its factorization.

55350544505355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349786 (or 349780 counting only the distinct ones).

The product of its (nonzero) digits is 56250000, while the sum is 54.

The spelling of 55350544505355 in words is "fifty-five trillion, three hundred fifty billion, five hundred forty-four million, five hundred five thousand, three hundred fifty-five".