823152002400 has 3456 divisors, whose sum is σ = 4076539084800. Its totient is φ = 157212057600.

The previous prime is 823152002399. The next prime is 823152002401. The reversal of 823152002400 is 4200251328.

823152002400 is a `hidden beast` number, since 8 + 231 + 5 + 20 + 0 + 2 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (823152002399) and next prime (823152002401).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823152002401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 10419645561 + ... + 10419645639.

Almost surely, 2^823152002400 is an apocalyptic number.

823152002400 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 823152002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038269542400).

823152002400 is an abundant number, since it is smaller than the sum of its proper divisors (3253387082400).

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

823152002400 is a wasteful number, since it uses less digits than its factorization.

823152002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 823152002400 its reverse (4200251328), we get a palindrome (827352253728).

The spelling of 823152002400 in words is "eight hundred twenty-three billion, one hundred fifty-two million, two thousand, four hundred".