13500623400 has 144 divisors (see below), whose sum is σ = 46002784800. Its totient is φ = 3272860800.

The previous prime is 13500623399. The next prime is 13500623401. The reversal of 13500623400 is 432600531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13500623399) and next prime (13500623401).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13500623401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20380 + ... + 165579.

Almost surely, 2^13500623400 is an apocalyptic number.

13500623400 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 13500623400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23001392400).

13500623400 is an abundant number, since it is smaller than the sum of its proper divisors (32502161400).

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

13500623400 is a wasteful number, since it uses less digits than its factorization.

13500623400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186000 (or 185980 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The spelling of 13500623400 in words is "thirteen billion, five hundred million, six hundred twenty-three thousand, four hundred".