13548960000 has 405 divisors, whose sum is σ = 49324055781. Its totient is φ = 3575808000.

The previous prime is 13548959971. The next prime is 13548960011. The reversal of 13548960000 is 6984531.

The square root of 13548960000 is 116400.

It is a perfect power (a square), and thus also a powerful number.

13548960000 is a `hidden beast` number, since 1 + 3 + 5 + 48 + 9 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 10979686656 + 2569273344 = 104784^2 + 50688^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 139679952 + ... + 139680048.

Almost surely, 2^13548960000 is an apocalyptic number.

13548960000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13548960000 is the 116400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13548960000

13548960000 is an abundant number, since it is smaller than the sum of its proper divisors (35775095781).

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

13548960000 is an frugal number, since it uses more digits than its factorization.

13548960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 107 counting only the distinct ones).

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

Multiplying 13548960000 by its sum of digits (36), we get a square (487762560000 = 698400²).

13548960000 divided by its sum of digits (36) gives a square (376360000 = 19400²).

The spelling of 13548960000 in words is "thirteen billion, five hundred forty-eight million, nine hundred sixty thousand".