12952526400 has 672 divisors, whose sum is σ = 52225407360. Its totient is φ = 3096576000.

The previous prime is 12952526399. The next prime is 12952526407. The reversal of 12952526400 is 462525921.

12952526400 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 2 + 5 + 2 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12952526407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46094260 + ... + 46094540.

It is an arithmetic number, because the mean of its divisors is an integer number (77716380).

Almost surely, 2^12952526400 is an apocalyptic number.

12952526400 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 12952526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26112703680).

12952526400 is an abundant number, since it is smaller than the sum of its proper divisors (39272880960).

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

12952526400 is a wasteful number, since it uses less digits than its factorization.

12952526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 12952526400 in words is "twelve billion, nine hundred fifty-two million, five hundred twenty-six thousand, four hundred".