1315779379200 has 1512 divisors, whose sum is σ = 5710626059040. Its totient is φ = 294440140800.

The previous prime is 1315779379183. The next prime is 1315779379217. The reversal of 1315779379200 is 29739775131.

1315779379200 is a `hidden beast` number, since 1 + 31 + 577 + 9 + 37 + 9 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1315779379183) and next prime (1315779379217).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 101213798394 + ... + 101213798406.

Almost surely, 2^{1315779379200} is an apocalyptic number.

1315779379200 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 1315779379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855313029520).

1315779379200 is an abundant number, since it is smaller than the sum of its proper divisors (4394846679840).

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

1315779379200 is an frugal number, since it uses more digits than its factorization.

1315779379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2500470, while the sum is 54.

The spelling of 1315779379200 in words is "one trillion, three hundred fifteen billion, seven hundred seventy-nine million, three hundred seventy-nine thousand, two hundred".