523998633558400 has 1536 divisors, whose sum is σ = 1761510896087040. Its totient is φ = 148732416000000.

The previous prime is 523998633558383. The next prime is 523998633558461. The reversal of 523998633558400 is 4855336899325.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 523998633558400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86028339355 + ... + 86028345445.

It is an arithmetic number, because the mean of its divisors is an integer number (1146816989640).

Almost surely, 2^{523998633558400} is an apocalyptic number.

523998633558400 is a gapful number since it is divisible by the number (50) 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 523998633558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880755448043520).

523998633558400 is an abundant number, since it is smaller than the sum of its proper divisors (1237512262528640).

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

523998633558400 is a wasteful number, since it uses less digits than its factorization.

523998633558400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6504 (or 6487 counting only the distinct ones).

The product of its (nonzero) digits is 839808000, while the sum is 70.

The spelling of 523998633558400 in words is "five hundred twenty-three trillion, nine hundred ninety-eight billion, six hundred thirty-three million, five hundred fifty-eight thousand, four hundred".