13155434525200 has 240 divisors, whose sum is σ = 36397967256000. Its totient is φ = 4519019980800.

The previous prime is 13155434525171. The next prime is 13155434525249. The reversal of 13155434525200 is 252543455131.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28950954 + ... + 29401846.

It is an arithmetic number, because the mean of its divisors is an integer number (151658196900).

Almost surely, 2^{13155434525200} is an apocalyptic number.

13155434525200 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 13155434525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18198983628000).

13155434525200 is an abundant number, since it is smaller than the sum of its proper divisors (23242532730800).

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

13155434525200 is a wasteful number, since it uses less digits than its factorization.

13155434525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451290 (or 451279 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

The spelling of 13155434525200 in words is "thirteen trillion, one hundred fifty-five billion, four hundred thirty-four million, five hundred twenty-five thousand, two hundred".