1315977688080 has 480 divisors, whose sum is σ = 5145130119168. Its totient is φ = 297890611200.

The previous prime is 1315977688079. The next prime is 1315977688099. The reversal of 1315977688080 is 808867795131.

1315977688080 is a `hidden beast` number, since 1 + 31 + 597 + 7 + 6 + 8 + 8 + 0 + 8 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1315977687999 and 1315977688017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17060800 + ... + 17137760.

Almost surely, 2^{1315977688080} is an apocalyptic number.

1315977688080 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 1315977688080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572565059584).

1315977688080 is an abundant number, since it is smaller than the sum of its proper divisors (3829152431088).

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

1315977688080 is a wasteful number, since it uses less digits than its factorization.

1315977688080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77135 (or 77126 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 1315977688080 in words is "one trillion, three hundred fifteen billion, nine hundred seventy-seven million, six hundred eighty-eight thousand, eighty".