1915135488000 has 1456 divisors, whose sum is σ = 8201017396416. Its totient is φ = 437148057600.

The previous prime is 1915135487971. The next prime is 1915135488001. The reversal of 1915135488000 is 8845315191.

1915135488000 is a `hidden beast` number, since 1 + 9 + 1 + 513 + 54 + 8 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1915135488001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2612735634 + ... + 2612736366.

Almost surely, 2^{1915135488000} is an apocalyptic number.

1915135488000 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 1915135488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4100508698208).

1915135488000 is an abundant number, since it is smaller than the sum of its proper divisors (6285881908416).

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

1915135488000 is an frugal number, since it uses more digits than its factorization.

1915135488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 1915135488000 in words is "one trillion, nine hundred fifteen billion, one hundred thirty-five million, four hundred eighty-eight thousand".