800053293312 has 1728 divisors, whose sum is σ = 3135866732544. Its totient is φ = 197791580160.

The previous prime is 800053293307. The next prime is 800053293317. The reversal of 800053293312 is 213392350008.

800053293312 is a `hidden beast` number, since 8 + 0 + 0 + 0 + 53 + 293 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (800053293307) and next prime (800053293317).

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is not an unprimeable number, because it can be changed into a prime (800053293317) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8247972048 + ... + 8247972144.

Almost surely, 2^800053293312 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 800053293312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567933366272).

800053293312 is an abundant number, since it is smaller than the sum of its proper divisors (2335813439232).

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

800053293312 is a wasteful number, since it uses less digits than its factorization.

800053293312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 800053293312 in words is "eight hundred billion, fifty-three million, two hundred ninety-three thousand, three hundred twelve".