5375513493504 has 1024 divisors, whose sum is σ = 20907447552000. Its totient is φ = 1322432593920.

The previous prime is 5375513493499. The next prime is 5375513493509. The reversal of 5375513493504 is 4053943155735.

5375513493504 is a `hidden beast` number, since 5 + 3 + 7 + 551 + 34 + 9 + 3 + 50 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5375513493499) and next prime (5375513493509).

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×5375513493504² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5375513493509) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1294366692 + ... + 1294370844.

It is an arithmetic number, because the mean of its divisors is an integer number (20417429250).

Almost surely, 2^{5375513493504} is an apocalyptic number.

5375513493504 is a gapful number since it is divisible by the number (54) 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 5375513493504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10453723776000).

5375513493504 is an abundant number, since it is smaller than the sum of its proper divisors (15531934058496).

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

5375513493504 is a wasteful number, since it uses less digits than its factorization.

5375513493504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4229 (or 4195 counting only the distinct ones).

The product of its (nonzero) digits is 17010000, while the sum is 54.

The spelling of 5375513493504 in words is "five trillion, three hundred seventy-five billion, five hundred thirteen million, four hundred ninety-three thousand, five hundred four".