821677500000 has 1536 divisors, whose sum is σ = 3590990807040. Its totient is φ = 178848000000.

The previous prime is 821677499983. The next prime is 821677500001. The reversal of 821677500000 is 5776128.

821677500000 is a `hidden beast` number, since 82 + 1 + 6 + 77 + 500 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821677500001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17482499977 + ... + 17482500023.

It is an arithmetic number, because the mean of its divisors is an integer number (2337884640).

Almost surely, 2^821677500000 is an apocalyptic number.

821677500000 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 821677500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795495403520).

821677500000 is an abundant number, since it is smaller than the sum of its proper divisors (2769313307040).

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

821677500000 is an frugal number, since it uses more digits than its factorization.

821677500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 821677500000 in words is "eight hundred twenty-one billion, six hundred seventy-seven million, five hundred thousand".