5438152011600 has 1440 divisors, whose sum is σ = 25171582415616. Its totient is φ = 1052481945600.

The previous prime is 5438152011577. The next prime is 5438152011641. The reversal of 5438152011600 is 61102518345.

5438152011600 is a `hidden beast` number, since 5 + 4 + 3 + 8 + 15 + 20 + 11 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 457096852 + ... + 457108748.

Almost surely, 2^{5438152011600} is an apocalyptic number.

5438152011600 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 5438152011600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12585791207808).

5438152011600 is an abundant number, since it is smaller than the sum of its proper divisors (19733430404016).

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

5438152011600 is a wasteful number, since it uses less digits than its factorization.

5438152011600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12053 (or 12039 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 5438152011600 its reverse (61102518345), we get a palindrome (5499254529945).

The spelling of 5438152011600 in words is "five trillion, four hundred thirty-eight billion, one hundred fifty-two million, eleven thousand, six hundred".