13465457800 has 192 divisors, whose sum is σ = 32904144000. Its totient is φ = 5120563200.

The previous prime is 13465457791. The next prime is 13465457813. The reversal of 13465457800 is 875456431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90372126 + ... + 90372274.

It is an arithmetic number, because the mean of its divisors is an integer number (171375750).

Almost surely, 2^13465457800 is an apocalyptic number.

13465457800 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 13465457800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16452072000).

13465457800 is an abundant number, since it is smaller than the sum of its proper divisors (19438686200).

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

13465457800 is a wasteful number, since it uses less digits than its factorization.

13465457800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The spelling of 13465457800 in words is "thirteen billion, four hundred sixty-five million, four hundred fifty-seven thousand, eight hundred".