1379518560 has 576 divisors, whose sum is σ = 5929459200. Its totient is φ = 298722816.

The previous prime is 1379518529. The next prime is 1379518571. The reversal of 1379518560 is 658159731.

It is a happy number.

1379518560 is a `hidden beast` number, since 1 + 3 + 79 + 5 + 18 + 560 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72606231 + ... + 72606249.

It is an arithmetic number, because the mean of its divisors is an integer number (10294200).

Almost surely, 2^1379518560 is an apocalyptic number.

1379518560 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 1379518560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2964729600).

1379518560 is an abundant number, since it is smaller than the sum of its proper divisors (4549940640).

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

1379518560 is an frugal number, since it uses more digits than its factorization.

1379518560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 1379518560 is about 37141.8707121760. The cubic root of 1379518560 is about 1113.2067967472.

The spelling of 1379518560 in words is "one billion, three hundred seventy-nine million, five hundred eighteen thousand, five hundred sixty".