538621332480 has 1760 divisors, whose sum is σ = 2444753912832. Its totient is φ = 110149632000.

The previous prime is 538621332479. The next prime is 538621332517. The reversal of 538621332480 is 84233126835.

538621332480 is a `hidden beast` number, since 5 + 38 + 6 + 2 + 133 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a super-2 number, since 2×538621332480² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3225277357 + ... + 3225277523.

Almost surely, 2^538621332480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 538621332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222376956416).

538621332480 is an abundant number, since it is smaller than the sum of its proper divisors (1906132580352).

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

538621332480 is a wasteful number, since it uses less digits than its factorization.

538621332480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 538621332480 in words is "five hundred thirty-eight billion, six hundred twenty-one million, three hundred thirty-two thousand, four hundred eighty".