13065904800 has 1152 divisors, whose sum is σ = 55996416000. Its totient is φ = 2911334400.

The previous prime is 13065904799. The next prime is 13065904801. The reversal of 13065904800 is 840956031.

13065904800 is a `hidden beast` number, since 1 + 30 + 65 + 90 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13065904799) and next prime (13065904801).

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

It is not an unprimeable number, because it can be changed into a prime (13065904801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 165391161 + ... + 165391239.

It is an arithmetic number, because the mean of its divisors is an integer number (48608000).

Almost surely, 2^13065904800 is an apocalyptic number.

13065904800 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 13065904800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27998208000).

13065904800 is an abundant number, since it is smaller than the sum of its proper divisors (42930511200).

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

13065904800 is a wasteful number, since it uses less digits than its factorization.

13065904800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

It can be divided in two parts, 1306590 and 4800, that added together give a triangular number (1311390 = T₁₆₁₉).

The spelling of 13065904800 in words is "thirteen billion, sixty-five million, nine hundred four thousand, eight hundred".