55005200260032 has 224 divisors, whose sum is σ = 168758258042880. Its totient is φ = 15626713169920.

The previous prime is 55005200260009. The next prime is 55005200260037. The reversal of 55005200260032 is 23006200250055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55005200260037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6246769 + ... + 12207887.

Almost surely, 2^{55005200260032} 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 55005200260032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84379129021440).

55005200260032 is an abundant number, since it is smaller than the sum of its proper divisors (113753057782848).

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

55005200260032 is a wasteful number, since it uses less digits than its factorization.

55005200260032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5961419 (or 5961409 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 55005200260032 in words is "fifty-five trillion, five billion, two hundred million, two hundred sixty thousand, thirty-two".