13487458158720 has 1536 divisors, whose sum is σ = 62574640128000. Its totient is φ = 2695877738496.

The previous prime is 13487458158709. The next prime is 13487458158721. The reversal of 13487458158720 is 2785185478431.

13487458158720 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 7 + 45 + 8 + 1 + 587 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (13487458158721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 268869001 + ... + 268919159.

It is an arithmetic number, because the mean of its divisors is an integer number (40738698000).

Almost surely, 2^{13487458158720} is an apocalyptic number.

13487458158720 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 13487458158720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31287320064000).

13487458158720 is an abundant number, since it is smaller than the sum of its proper divisors (49087181969280).

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

13487458158720 is a wasteful number, since it uses less digits than its factorization.

13487458158720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50232 (or 50208 counting only the distinct ones).

The product of its (nonzero) digits is 60211200, while the sum is 63.

The spelling of 13487458158720 in words is "thirteen trillion, four hundred eighty-seven billion, four hundred fifty-eight million, one hundred fifty-eight thousand, seven hundred twenty".