800060127552 has 224 divisors, whose sum is σ = 2688804823040. Its totient is φ = 228522954240.

The previous prime is 800060127509. The next prime is 800060127553. The reversal of 800060127552 is 255721060008.

It is a happy number.

800060127552 is a `hidden beast` number, since 80 + 0 + 0 + 6 + 0 + 1 + 27 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800060127553) 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, 55525533 + ... + 55539939.

It is an arithmetic number, because the mean of its divisors is an integer number (12003592960).

Almost surely, 2^800060127552 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 800060127552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344402411520).

800060127552 is an abundant number, since it is smaller than the sum of its proper divisors (1888744695488).

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

800060127552 is a wasteful number, since it uses less digits than its factorization.

800060127552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19026 (or 19010 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 800060127552 in words is "eight hundred billion, sixty million, one hundred twenty-seven thousand, five hundred fifty-two".