1312876524960 has 1920 divisors, whose sum is σ = 6588063465984. Its totient is φ = 236967690240.

The previous prime is 1312876524941. The next prime is 1312876524983. The reversal of 1312876524960 is 694256782131.

It is a happy number.

1312876524960 is a `hidden beast` number, since 1 + 3 + 1 + 28 + 7 + 6 + 524 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1312876524897 and 1312876524906.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 220537344 + ... + 220543296.

It is a 1-persistent number, because it is pandigital, but 2⋅1312876524960 = 2625753049920 is not.

Almost surely, 2^{1312876524960} is an apocalyptic number.

1312876524960 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 1312876524960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3294031732992).

1312876524960 is an abundant number, since it is smaller than the sum of its proper divisors (5275186941024).

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

1312876524960 is a wasteful number, since it uses less digits than its factorization.

1312876524960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6028 (or 6011 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1312876524960 in words is "one trillion, three hundred twelve billion, eight hundred seventy-six million, five hundred twenty-four thousand, nine hundred sixty".