823752097159680 has 5760 divisors, whose sum is σ = 3580172679283200. Its totient is φ = 179808025706496.

The previous prime is 823752097159609. The next prime is 823752097159741. The reversal of 823752097159680 is 86951790257328.

823752097159680 is a `hidden beast` number, since 8 + 2 + 3 + 7 + 5 + 20 + 9 + 7 + 1 + 596 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 823752097159599 and 823752097159608.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 8492289661392 + ... + 8492289661488.

It is an arithmetic number, because the mean of its divisors is an integer number (621557756820).

Almost surely, 2^{823752097159680} is an apocalyptic number.

823752097159680 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 823752097159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790086339641600).

823752097159680 is an abundant number, since it is smaller than the sum of its proper divisors (2756420582123520).

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

823752097159680 is an equidigital number, since it uses as much as digits as its factorization.

823752097159680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

The spelling of 823752097159680 in words is "eight hundred twenty-three trillion, seven hundred fifty-two billion, ninety-seven million, one hundred fifty-nine thousand, six hundred eighty".