12993572345400 has 120 divisors (see below), whose sum is σ = 45128601785520. Its totient is φ = 3464952621120.

The previous prime is 12993572345321. The next prime is 12993572345419. The reversal of 12993572345400 is 454327539921.

It is a happy number.

12993572345400 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 357 + 234 + 54 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 401019984 + ... + 401052383.

It is an arithmetic number, because the mean of its divisors is an integer number (376071681546).

Almost surely, 2^{12993572345400} is an apocalyptic number.

12993572345400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12993572345400 is an abundant number, since it is smaller than the sum of its proper divisors (32135029440120).

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

12993572345400 is a wasteful number, since it uses less digits than its factorization.

12993572345400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802072395 (or 802072377 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 12993572345400 in words is "twelve trillion, nine hundred ninety-three billion, five hundred seventy-two million, three hundred forty-five thousand, four hundred".