5132782195200 has 1440 divisors, whose sum is σ = 20823001385472. Its totient is φ = 1196163072000.

The previous prime is 5132782195183. The next prime is 5132782195223. The reversal of 5132782195200 is 25912872315.

5132782195200 is a `hidden beast` number, since 5 + 1 + 32 + 7 + 82 + 19 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7581657262 + ... + 7581657938.

Almost surely, 2^{5132782195200} is an apocalyptic number.

5132782195200 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 5132782195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10411500692736).

5132782195200 is an abundant number, since it is smaller than the sum of its proper divisors (15690219190272).

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

5132782195200 is a wasteful number, since it uses less digits than its factorization.

5132782195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 5132782195200 in words is "five trillion, one hundred thirty-two billion, seven hundred eighty-two million, one hundred ninety-five thousand, two hundred".