13545011400 has 48 divisors (see below), whose sum is σ = 41989537200. Its totient is φ = 3612002880.

The previous prime is 13545011399. The next prime is 13545011401. The reversal of 13545011400 is 411054531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13545011399) and next prime (13545011401).

It is a super-2 number, since 2×13545011400² (a number of 21 digits) contains 22 as substring.

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 (13545011401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11286910 + ... + 11288109.

It is an arithmetic number, because the mean of its divisors is an integer number (874782025).

Almost surely, 2^13545011400 is an apocalyptic number.

13545011400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13545011400 is an abundant number, since it is smaller than the sum of its proper divisors (28444525800).

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

13545011400 is a wasteful number, since it uses less digits than its factorization.

13545011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22575038 (or 22575029 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 13545011400 its reverse (411054531), we get a palindrome (13956065931).

The spelling of 13545011400 in words is "thirteen billion, five hundred forty-five million, eleven thousand, four hundred".