832126493250 has 1024 divisors, whose sum is σ = 2789705318400. Its totient is φ = 181473177600.

The previous prime is 832126493239. The next prime is 832126493257. The reversal of 832126493250 is 52394621238.

832126493250 is a `hidden beast` number, since 8 + 32 + 126 + 493 + 2 + 5 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 832126493196 and 832126493205.

It is not an unprimeable number, because it can be changed into a prime (832126493257) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2710509597 + ... + 2710509903.

It is an arithmetic number, because the mean of its divisors is an integer number (2724321600).

Almost surely, 2^832126493250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 832126493250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394852659200).

832126493250 is an abundant number, since it is smaller than the sum of its proper divisors (1957578825150).

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

832126493250 is a wasteful number, since it uses less digits than its factorization.

832126493250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 832126493250 in words is "eight hundred thirty-two billion, one hundred twenty-six million, four hundred ninety-three thousand, two hundred fifty".