812250794234880 has 3168 divisors, whose sum is σ = 3974851706192640. Its totient is φ = 155794312396800.

The previous prime is 812250794234863. The next prime is 812250794234993. The reversal of 812250794234880 is 88432497052218.

812250794234880 is a `hidden beast` number, since 8 + 1 + 2 + 2 + 507 + 9 + 4 + 2 + 3 + 48 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a super-2 number, since 2×812250794234880² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10655086365 + ... + 10655162595.

Almost surely, 2^{812250794234880} is an apocalyptic number.

812250794234880 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 812250794234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987425853096320).

812250794234880 is an abundant number, since it is smaller than the sum of its proper divisors (3162600911957760).

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

812250794234880 is a wasteful number, since it uses less digits than its factorization.

812250794234880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76314 (or 76272 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 812250794234880 in words is "eight hundred twelve trillion, two hundred fifty billion, seven hundred ninety-four million, two hundred thirty-four thousand, eight hundred eighty".