5438508016032 has 576 divisors, whose sum is σ = 20273374727424. Its totient is φ = 1395559342080.

The previous prime is 5438508016027. The next prime is 5438508016087. The reversal of 5438508016032 is 2306108058345.

5438508016032 is a `hidden beast` number, since 5 + 4 + 38 + 5 + 0 + 8 + 0 + 1 + 603 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26077932 + ... + 26285652.

It is an arithmetic number, because the mean of its divisors is an integer number (35196831124).

Almost surely, 2^{5438508016032} is an apocalyptic number.

5438508016032 is a gapful number since it is divisible by the number (52) 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 5438508016032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10136687363712).

5438508016032 is an abundant number, since it is smaller than the sum of its proper divisors (14834866711392).

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

5438508016032 is a wasteful number, since it uses less digits than its factorization.

5438508016032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207803 (or 207783 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 5438508016032 in words is "five trillion, four hundred thirty-eight billion, five hundred eight million, sixteen thousand, thirty-two".