13101486854400 has 1296 divisors, whose sum is σ = 54905625815040. Its totient is φ = 2918135808000.

The previous prime is 13101486854387. The next prime is 13101486854411. The reversal of 13101486854400 is 445868410131.

13101486854400 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 1 + 48 + 68 + 544 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 12465733875 + ... + 12465734925.

Almost surely, 2^{13101486854400} is an apocalyptic number.

13101486854400 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 13101486854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27452812907520).

13101486854400 is an abundant number, since it is smaller than the sum of its proper divisors (41804138960640).

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

13101486854400 is a wasteful number, since it uses less digits than its factorization.

13101486854400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 13101486854400 in words is "thirteen trillion, one hundred one billion, four hundred eighty-six million, eight hundred fifty-four thousand, four hundred".