12952289750400 has 3072 divisors, whose sum is σ = 65710994227200. Its totient is φ = 2403717120000.

The previous prime is 12952289750383. The next prime is 12952289750447. The reversal of 12952289750400 is 405798225921.

12952289750400 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 228 + 9 + 7 + 5 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2681075985 + ... + 2681080815.

It is an arithmetic number, because the mean of its divisors is an integer number (21390297600).

Almost surely, 2^{12952289750400} is an apocalyptic number.

12952289750400 is a gapful number since it is divisible by the number (10) 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 12952289750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32855497113600).

12952289750400 is an abundant number, since it is smaller than the sum of its proper divisors (52758704476800).

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

12952289750400 is a wasteful number, since it uses less digits than its factorization.

12952289750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4926 (or 4903 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 12952289750400 in words is "twelve trillion, nine hundred fifty-two billion, two hundred eighty-nine million, seven hundred fifty thousand, four hundred".