725543232272838 has 768 divisors, whose sum is σ = 1996635399782400. Its totient is φ = 189763668864000.

The previous prime is 725543232272813. The next prime is 725543232272923. The reversal of 725543232272838 is 838272232345527.

725543232272838 is a `hidden beast` number, since 7 + 2 + 5 + 5 + 4 + 323 + 2 + 27 + 283 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 188403849613 + ... + 188403853463.

It is an arithmetic number, because the mean of its divisors is an integer number (2599785676800).

Almost surely, 2^{725543232272838} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725543232272838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998317699891200).

725543232272838 is an abundant number, since it is smaller than the sum of its proper divisors (1271092167509562).

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

725543232272838 is a wasteful number, since it uses less digits than its factorization.

725543232272838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4398 (or 4381 counting only the distinct ones).

The product of its digits is 270950400, while the sum is 63.

The spelling of 725543232272838 in words is "seven hundred twenty-five trillion, five hundred forty-three billion, two hundred thirty-two million, two hundred seventy-two thousand, eight hundred thirty-eight".