800025795072000 has 1248 divisors, whose sum is σ = 3402335765796864. Its totient is φ = 176964009984000.

The previous prime is 800025795071953. The next prime is 800025795072017. The reversal of 800025795072000 is 270597520008.

It is a happy number.

800025795072000 is a `hidden beast` number, since 8 + 0 + 0 + 0 + 2 + 579 + 5 + 0 + 72 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 999535962 + ... + 1000336038.

It is an arithmetic number, because the mean of its divisors is an integer number (2726230581568).

Almost surely, 2^{800025795072000} is an apocalyptic number.

800025795072000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800025795072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701167882898432).

800025795072000 is an abundant number, since it is smaller than the sum of its proper divisors (2602309970724864).

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

800025795072000 is a wasteful number, since it uses less digits than its factorization.

800025795072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800160 (or 800125 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 800025795072000 in words is "eight hundred trillion, twenty-five billion, seven hundred ninety-five million, seventy-two thousand".