5352192000 has 576 divisors, whose sum is σ = 20329807680. Its totient is φ = 1351680000.

The previous prime is 5352191993. The next prime is 5352192017. The reversal of 5352192000 is 2912535.

5352192000 is a `hidden beast` number, since 53 + 521 + 92 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

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, 52991950 + ... + 52992050.

It is an arithmetic number, because the mean of its divisors is an integer number (35294805).

Almost surely, 2^5352192000 is an apocalyptic number.

5352192000 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 5352192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10164903840).

5352192000 is an abundant number, since it is smaller than the sum of its proper divisors (14977615680).

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

5352192000 is a wasteful number, since it uses less digits than its factorization.

5352192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 5352192000 is about 73158.6768606431. The cubic root of 5352192000 is about 1749.2178273262.

The spelling of 5352192000 in words is "five billion, three hundred fifty-two million, one hundred ninety-two thousand".