812048080000 has 160 divisors (see below), whose sum is σ = 2041578532620. Its totient is φ = 321600000000.

The previous prime is 812048079949. The next prime is 812048080007. The reversal of 812048080000 is 80840218.

It can be written as a sum of positive squares in 10 ways, for example, as 25761534016 + 786286545984 = 160504^2 + 886728^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (812048080007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8029750 + ... + 8130250.

Almost surely, 2^812048080000 is an apocalyptic number.

812048080000 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 812048080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020789266310).

812048080000 is an abundant number, since it is smaller than the sum of its proper divisors (1229530452620).

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

812048080000 is a wasteful number, since it uses less digits than its factorization.

812048080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100636 (or 100609 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The spelling of 812048080000 in words is "eight hundred twelve billion, forty-eight million, eighty thousand".