13465355400 has 576 divisors, whose sum is σ = 54770601600. Its totient is φ = 2899169280.

The previous prime is 13465355399. The next prime is 13465355411. The reversal of 13465355400 is 455356431.

13465355400 is a `hidden beast` number, since 13 + 46 + 53 + 554 + 0 + 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15711772 + ... + 15712628.

It is an arithmetic number, because the mean of its divisors is an integer number (95087850).

Almost surely, 2^13465355400 is an apocalyptic number.

13465355400 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 13465355400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27385300800).

13465355400 is an abundant number, since it is smaller than the sum of its proper divisors (41305246200).

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

13465355400 is a wasteful number, since it uses less digits than its factorization.

13465355400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 13465355400 in words is "thirteen billion, four hundred sixty-five million, three hundred fifty-five thousand, four hundred".