538123370400 has 2880 divisors, whose sum is σ = 2613432729600. Its totient is φ = 106686720000.

The previous prime is 538123370321. The next prime is 538123370401. The reversal of 538123370400 is 4073321835.

538123370400 is a `hidden beast` number, since 5 + 381 + 233 + 7 + 0 + 40 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (538123370401) 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 479 ways as a sum of consecutive naturals, for example, 7579202365 + ... + 7579202435.

It is an arithmetic number, because the mean of its divisors is an integer number (907441920).

Almost surely, 2^538123370400 is an apocalyptic number.

538123370400 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 538123370400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306716364800).

538123370400 is an abundant number, since it is smaller than the sum of its proper divisors (2075309359200).

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

538123370400 is a wasteful number, since it uses less digits than its factorization.

538123370400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 538123370400 in words is "five hundred thirty-eight billion, one hundred twenty-three million, three hundred seventy thousand, four hundred".