13153208140800 has 3960 divisors, whose sum is σ = 62110533838080. Its totient is φ = 2640140697600.

The previous prime is 13153208140799. The next prime is 13153208140819. The reversal of 13153208140800 is 804180235131.

13153208140800 is a `hidden beast` number, since 1 + 3 + 1 + 532 + 0 + 8 + 1 + 40 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 222935731171 + ... + 222935731229.

Almost surely, 2^{13153208140800} is an apocalyptic number.

13153208140800 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 13153208140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31055266919040).

13153208140800 is an abundant number, since it is smaller than the sum of its proper divisors (48957325697280).

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

13153208140800 is a wasteful number, since it uses less digits than its factorization.

13153208140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 13153208140800 its reverse (804180235131), we get a palindrome (13957388375931).

The spelling of 13153208140800 in words is "thirteen trillion, one hundred fifty-three billion, two hundred eight million, one hundred forty thousand, eight hundred".