12765952900800 has 1680 divisors, whose sum is σ = 52657692227712. Its totient is φ = 3019277721600.

The previous prime is 12765952900781. The next prime is 12765952900829. The reversal of 12765952900800 is 800925956721.

12765952900800 is a `hidden beast` number, since 1 + 27 + 6 + 595 + 29 + 0 + 0 + 8 + 0 + 0 = 666.

12765952900800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 14896093972 + ... + 14896094828.

Almost surely, 2^{12765952900800} is an apocalyptic number.

12765952900800 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 12765952900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26328846113856).

12765952900800 is an abundant number, since it is smaller than the sum of its proper divisors (39891739326912).

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

12765952900800 is an frugal number, since it uses more digits than its factorization.

12765952900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 12765952900800 in words is "twelve trillion, seven hundred sixty-five billion, nine hundred fifty-two million, nine hundred thousand, eight hundred".