13087500150816 has 1344 divisors, whose sum is σ = 50724734457600. Its totient is φ = 3224002756608.

The previous prime is 13087500150707. The next prime is 13087500150853. The reversal of 13087500150816 is 61805100578031.

13087500150816 is a `hidden beast` number, since 1 + 3 + 0 + 87 + 50 + 0 + 1 + 508 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 5016288520 + ... + 5016291128.

It is an arithmetic number, because the mean of its divisors is an integer number (37741617900).

Almost surely, 2^{13087500150816} is an apocalyptic number.

13087500150816 is a gapful number since it is divisible by the number (16) 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 13087500150816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25362367228800).

13087500150816 is an abundant number, since it is smaller than the sum of its proper divisors (37637234306784).

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

13087500150816 is a wasteful number, since it uses less digits than its factorization.

13087500150816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 13087500150816 in words is "thirteen trillion, eighty-seven billion, five hundred million, one hundred fifty thousand, eight hundred sixteen".