5332519526400 has 2352 divisors, whose sum is σ = 23021322398208. Its totient is φ = 1210318848000.

The previous prime is 5332519526381. The next prime is 5332519526407. The reversal of 5332519526400 is 46259152335.

5332519526400 is a `hidden beast` number, since 5 + 3 + 32 + 5 + 195 + 26 + 400 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5332519526407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 27918950305 + ... + 27918950495.

Almost surely, 2^{5332519526400} is an apocalyptic number.

5332519526400 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 5332519526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11510661199104).

5332519526400 is an abundant number, since it is smaller than the sum of its proper divisors (17688802871808).

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

5332519526400 is a wasteful number, since it uses less digits than its factorization.

5332519526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 5332519526400 in words is "five trillion, three hundred thirty-two billion, five hundred nineteen million, five hundred twenty-six thousand, four hundred".