538352632800 has 540 divisors, whose sum is σ = 1991806656840. Its totient is φ = 141503293440.

The previous prime is 538352632799. The next prime is 538352632813. The reversal of 538352632800 is 8236253835.

538352632800 is a `hidden beast` number, since 5 + 3 + 8 + 3 + 5 + 2 + 632 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 345318421 + ... + 345319979.

It is an arithmetic number, because the mean of its divisors is an integer number (3688530846).

Almost surely, 2^538352632800 is an apocalyptic number.

538352632800 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 538352632800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995903328420).

538352632800 is an abundant number, since it is smaller than the sum of its proper divisors (1453454024040).

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

538352632800 is a wasteful number, since it uses less digits than its factorization.

538352632800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 538352632800 in words is "five hundred thirty-eight billion, three hundred fifty-two million, six hundred thirty-two thousand, eight hundred".