5252932160400 has 240 divisors, whose sum is σ = 17799030896256. Its totient is φ = 1321523343360.

The previous prime is 5252932160393. The next prime is 5252932160447. The reversal of 5252932160400 is 40612392525.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×5252932160400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 711214 + ... + 3318386.

Almost surely, 2^{5252932160400} is an apocalyptic number.

5252932160400 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 5252932160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8899515448128).

5252932160400 is an abundant number, since it is smaller than the sum of its proper divisors (12546098735856).

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

5252932160400 is a wasteful number, since it uses less digits than its factorization.

5252932160400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2607290 (or 2607279 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 5252932160400 in words is "five trillion, two hundred fifty-two billion, nine hundred thirty-two million, one hundred sixty thousand, four hundred".