12553064294400 has 2592 divisors, whose sum is σ = 55310952060000. Its totient is φ = 2812558049280.

The previous prime is 12553064294371. The next prime is 12553064294401. The reversal of 12553064294400 is 449246035521.

12553064294400 is a `hidden beast` number, since 1 + 2 + 55 + 306 + 4 + 294 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12553064294401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 35968665426 + ... + 35968665774.

It is an arithmetic number, because the mean of its divisors is an integer number (21339101875).

Almost surely, 2^{12553064294400} is an apocalyptic number.

12553064294400 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 12553064294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27655476030000).

12553064294400 is an abundant number, since it is smaller than the sum of its proper divisors (42757887765600).

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

12553064294400 is an equidigital number, since it uses as much as digits as its factorization.

12553064294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 12553064294400 in words is "twelve trillion, five hundred fifty-three billion, sixty-four million, two hundred ninety-four thousand, four hundred".