826329723120 has 1120 divisors, whose sum is σ = 3334373443584. Its totient is φ = 188452915200.

The previous prime is 826329723119. The next prime is 826329723173. The reversal of 826329723120 is 21327923628.

826329723120 is a `hidden beast` number, since 8 + 2 + 6 + 329 + 7 + 2 + 312 + 0 = 666.

It is a super-2 number, since 2×826329723120² (a number of 25 digits) contains 22 as substring.

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

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 223 ways as a sum of consecutive naturals, for example, 735822879 + ... + 735824001.

Almost surely, 2^826329723120 is an apocalyptic number.

826329723120 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 826329723120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667186721792).

826329723120 is an abundant number, since it is smaller than the sum of its proper divisors (2508043720464).

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

826329723120 is a wasteful number, since it uses less digits than its factorization.

826329723120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 826329723120 in words is "eight hundred twenty-six billion, three hundred twenty-nine million, seven hundred twenty-three thousand, one hundred twenty".