812257155072 has 960 divisors, whose sum is σ = 2780987489280. Its totient is φ = 233968435200.

The previous prime is 812257155053. The next prime is 812257155097. The reversal of 812257155072 is 270551752218.

812257155072 is a `hidden beast` number, since 8 + 1 + 2 + 2 + 571 + 5 + 5 + 0 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4695127978 + ... + 4695128150.

It is an arithmetic number, because the mean of its divisors is an integer number (2896861968).

Almost surely, 2^812257155072 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 812257155072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390493744640).

812257155072 is an abundant number, since it is smaller than the sum of its proper divisors (1968730334208).

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

812257155072 is a wasteful number, since it uses less digits than its factorization.

812257155072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 45.

The spelling of 812257155072 in words is "eight hundred twelve billion, two hundred fifty-seven million, one hundred fifty-five thousand, seventy-two".