824801253120 has 1296 divisors, whose sum is σ = 3297516112800. Its totient is φ = 196214980608.

The previous prime is 824801253077. The next prime is 824801253233. The reversal of 824801253120 is 21352108428.

It is a happy number.

824801253120 is a `hidden beast` number, since 8 + 2 + 480 + 1 + 2 + 53 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5535578806 + ... + 5535578954.

Almost surely, 2^824801253120 is an apocalyptic number.

824801253120 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 824801253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648758056400).

824801253120 is an abundant number, since it is smaller than the sum of its proper divisors (2472714859680).

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

824801253120 is a wasteful number, since it uses less digits than its factorization.

824801253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 824801253120 in words is "eight hundred twenty-four billion, eight hundred one million, two hundred fifty-three thousand, one hundred twenty".