816256512000 has 624 divisors, whose sum is σ = 2957218616352. Its totient is φ = 216583372800.

The previous prime is 816256511951. The next prime is 816256512011. The reversal of 816256512000 is 215652618.

816256512000 is a `hidden beast` number, since 8 + 1 + 625 + 6 + 5 + 1 + 20 + 0 + 0 = 666.

It is a super-2 number, since 2×816256512000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1414655712 + ... + 1414656288.

It is an arithmetic number, because the mean of its divisors is an integer number (4739132398).

Almost surely, 2^816256512000 is an apocalyptic number.

816256512000 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 816256512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478609308176).

816256512000 is an abundant number, since it is smaller than the sum of its proper divisors (2140962104352).

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

816256512000 is a wasteful number, since it uses less digits than its factorization.

816256512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 816256512000 in words is "eight hundred sixteen billion, two hundred fifty-six million, five hundred twelve thousand".