823530100224000 has 1664 divisors, whose sum is σ = 3225610159349760. Its totient is φ = 184633786368000.

The previous prime is 823530100223977. The next prime is 823530100224011. The reversal of 823530100224000 is 422001035328.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10523096871 + ... + 10523175129.

It is an arithmetic number, because the mean of its divisors is an integer number (1938467643840).

Almost surely, 2^{823530100224000} is an apocalyptic number.

823530100224000 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 823530100224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612805079674880).

823530100224000 is an abundant number, since it is smaller than the sum of its proper divisors (2402080059125760).

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

823530100224000 is a wasteful number, since it uses less digits than its factorization.

823530100224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78362 (or 78330 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 823530100224000 its reverse (422001035328), we get a palindrome (823952101259328).

The spelling of 823530100224000 in words is "eight hundred twenty-three trillion, five hundred thirty billion, one hundred million, two hundred twenty-four thousand".