828737122500 has 1125 divisors, whose sum is σ = 3346059183159. Its totient is φ = 178282944000.

The previous prime is 828737122471. The next prime is 828737122523. The reversal of 828737122500 is 5221737828.

The square root of 828737122500 is 910350.

It is a perfect power (a square), and thus also a powerful number.

828737122500 is a `hidden beast` number, since 8 + 2 + 8 + 73 + 71 + 2 + 2 + 500 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 753010888644 + 75726233856 = 867762^2 + 275184^2 .

It is a tau number, because it is divible by the number of its divisors (1125).

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

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 374 ways as a sum of consecutive naturals, for example, 48749242492 + ... + 48749242508.

Almost surely, 2^828737122500 is an apocalyptic number.

828737122500 is the 910350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828737122500

828737122500 is an abundant number, since it is smaller than the sum of its proper divisors (2517322060659).

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

828737122500 is an frugal number, since it uses more digits than its factorization.

828737122500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 828737122500 in words is "eight hundred twenty-eight billion, seven hundred thirty-seven million, one hundred twenty-two thousand, five hundred".