812070964003500 has 1152 divisors, whose sum is σ = 2884293906923520. Its totient is φ = 197026712064000.

The previous prime is 812070964003441. The next prime is 812070964003501. The reversal of 812070964003500 is 5300469070218.

812070964003500 is a `hidden beast` number, since 8 + 1 + 207 + 0 + 9 + 6 + 400 + 35 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (812070964003501) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 132194521429 + ... + 132194527571.

It is an arithmetic number, because the mean of its divisors is an integer number (2503727349760).

It is a 1-persistent number, because it is pandigital, but 2⋅812070964003500 = 1624141928007000 is not.

Almost surely, 2^{812070964003500} 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 812070964003500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442146953461760).

812070964003500 is an abundant number, since it is smaller than the sum of its proper divisors (2072222942920020).

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

812070964003500 is a wasteful number, since it uses less digits than its factorization.

812070964003500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7329 (or 7294 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 812070964003500 in words is "eight hundred twelve trillion, seventy billion, nine hundred sixty-four million, three thousand, five hundred".