12752183840400 has 945 divisors, whose sum is σ = 48921413428321. Its totient is φ = 3192320471040.

The previous prime is 12752183840329. The next prime is 12752183840401. The reversal of 12752183840400 is 404838125721.

The square root of 12752183840400 is 3571020.

It is a perfect power (a square), and thus also a powerful number.

12752183840400 is a `hidden beast` number, since 1 + 2 + 7 + 521 + 8 + 3 + 84 + 0 + 40 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 7947460127376 + 4804723713024 = 2819124^2 + 2191968^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12752183840401) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 32781963406 + ... + 32781963794.

Almost surely, 2^{12752183840400} is an apocalyptic number.

12752183840400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12752183840400 is the 3571020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12752183840400

12752183840400 is an abundant number, since it is smaller than the sum of its proper divisors (36169229587921).

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

12752183840400 is an frugal number, since it uses more digits than its factorization.

12752183840400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 12752183840400 in words is "twelve trillion, seven hundred fifty-two billion, one hundred eighty-three million, eight hundred forty thousand, four hundred".