1315081188720 has 240 divisors, whose sum is σ = 4757313637440. Its totient is φ = 323637202944.

The previous prime is 1315081188703. The next prime is 1315081188871. The reversal of 1315081188720 is 278811805131.

1315081188720 is a `hidden beast` number, since 1 + 3 + 1 + 508 + 118 + 8 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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 47 ways as a sum of consecutive naturals, for example, 47843941 + ... + 47871419.

It is an arithmetic number, because the mean of its divisors is an integer number (19822140156).

Almost surely, 2^{1315081188720} is an apocalyptic number.

1315081188720 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 1315081188720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378656818720).

1315081188720 is an abundant number, since it is smaller than the sum of its proper divisors (3442232448720).

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

1315081188720 is a wasteful number, since it uses less digits than its factorization.

1315081188720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32624 (or 32615 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 45.

The spelling of 1315081188720 in words is "one trillion, three hundred fifteen billion, eighty-one million, one hundred eighty-eight thousand, seven hundred twenty".