823185145980 has 240 divisors, whose sum is σ = 2610883354464. Its totient is φ = 217096588800.

The previous prime is 823185145973. The next prime is 823185145997. The reversal of 823185145980 is 89541581328.

823185145980 is a `hidden beast` number, since 8 + 2 + 3 + 185 + 1 + 459 + 8 + 0 = 666.

823185145980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×823185145980² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 178834359 + ... + 178838961.

Almost surely, 2^823185145980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823185145980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305441677232).

823185145980 is an abundant number, since it is smaller than the sum of its proper divisors (1787698208484).

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

823185145980 is a wasteful number, since it uses less digits than its factorization.

823185145980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5818 (or 5807 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 823185145980 in words is "eight hundred twenty-three billion, one hundred eighty-five million, one hundred forty-five thousand, nine hundred eighty".