13787526475140 has 192 divisors, whose sum is σ = 43150327879680. Its totient is φ = 3260264320000.

The previous prime is 13787526475139. The next prime is 13787526475169. The reversal of 13787526475140 is 4157462578731.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144750451 + ... + 144845669.

It is an arithmetic number, because the mean of its divisors is an integer number (224741291040).

Almost surely, 2^{13787526475140} is an apocalyptic number.

13787526475140 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 13787526475140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21575163939840).

13787526475140 is an abundant number, since it is smaller than the sum of its proper divisors (29362801404540).

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

13787526475140 is a wasteful number, since it uses less digits than its factorization.

13787526475140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100634 (or 100632 counting only the distinct ones).

The product of its (nonzero) digits is 39513600, while the sum is 60.

The spelling of 13787526475140 in words is "thirteen trillion, seven hundred eighty-seven billion, five hundred twenty-six million, four hundred seventy-five thousand, one hundred forty".