12752955192384 has 693 divisors, whose sum is σ = 41975700136951. Its totient is φ = 3841390967040.

The previous prime is 12752955192343. The next prime is 12752955192409. The reversal of 12752955192384 is 48329155925721.

12752955192384 = 1³ + 2³ + ... + 2672³.

The square root of 12752955192384 is 3571128.

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

12752955192384 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 2 + 95 + 519 + 23 + 8 + 4 = 666.

It is a super-2 number, since 2×12752955192384² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 76365001069 + ... + 76365001235.

Almost surely, 2^{12752955192384} is an apocalyptic number.

12752955192384 is the 3571128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12752955192384

12752955192384 is an abundant number, since it is smaller than the sum of its proper divisors (29222744944567).

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

12752955192384 is an frugal number, since it uses more digits than its factorization.

12752955192384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 183 counting only the distinct ones).

The product of its digits is 54432000, while the sum is 63.

The spelling of 12752955192384 in words is "twelve trillion, seven hundred fifty-two billion, nine hundred fifty-five million, one hundred ninety-two thousand, three hundred eighty-four".