13154010015552 has 448 divisors, whose sum is σ = 42980342507520. Its totient is φ = 3466480582656.

The previous prime is 13154010015451. The next prime is 13154010015563. The reversal of 13154010015552 is 25551001045131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 343669888 + ... + 343708160.

Almost surely, 2^{13154010015552} is an apocalyptic number.

13154010015552 is a gapful number since it is divisible by the number (12) 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 13154010015552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21490171253760).

13154010015552 is an abundant number, since it is smaller than the sum of its proper divisors (29826332491968).

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

13154010015552 is a wasteful number, since it uses less digits than its factorization.

13154010015552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38670 (or 38660 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 33.

The spelling of 13154010015552 in words is "thirteen trillion, one hundred fifty-four billion, ten million, fifteen thousand, five hundred fifty-two".