13551141888000 has 1008 divisors, whose sum is σ = 50754952225224. Its totient is φ = 3611846246400.

The previous prime is 13551141887993. The next prime is 13551141888017. The reversal of 13551141888000 is 88814115531.

13551141888000 is a `hidden beast` number, since 1 + 3 + 551 + 1 + 4 + 18 + 8 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6478776078336 + 7072365809664 = 2545344^2 + 2659392^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6718462992 + ... + 6718465008.

Almost surely, 2^{13551141888000} is an apocalyptic number.

13551141888000 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 13551141888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25377476112612).

13551141888000 is an abundant number, since it is smaller than the sum of its proper divisors (37203810337224).

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

13551141888000 is an frugal number, since it uses more digits than its factorization.

13551141888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 45.

The spelling of 13551141888000 in words is "thirteen trillion, five hundred fifty-one billion, one hundred forty-one million, eight hundred eighty-eight thousand".