812667525120 has 576 divisors, whose sum is σ = 3103423333920. Its totient is φ = 195035136000.

The previous prime is 812667525079. The next prime is 812667525121. The reversal of 812667525120 is 21525766218.

812667525120 is a `hidden beast` number, since 8 + 1 + 2 + 66 + 75 + 2 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812667525121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102385792 + ... + 102393728.

Almost surely, 2^812667525120 is an apocalyptic number.

812667525120 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 812667525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551711666960).

812667525120 is an abundant number, since it is smaller than the sum of its proper divisors (2290755808800).

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

812667525120 is a wasteful number, since it uses less digits than its factorization.

812667525120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8082 (or 8059 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 812667525120 in words is "eight hundred twelve billion, six hundred sixty-seven million, five hundred twenty-five thousand, one hundred twenty".