1387855560 has 256 divisors, whose sum is σ = 5197570560. Its totient is φ = 288645120.

The previous prime is 1387855559. The next prime is 1387855561. The reversal of 1387855560 is 655587831.

It is an interprime number because it is at equal distance from previous prime (1387855559) and next prime (1387855561).

It is a super-2 number, since 2×1387855560² = 3852286110845827200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1387855561) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 796290 + ... + 798030.

It is an arithmetic number, because the mean of its divisors is an integer number (20303010).

Almost surely, 2^1387855560 is an apocalyptic number.

1387855560 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 1387855560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598785280).

1387855560 is an abundant number, since it is smaller than the sum of its proper divisors (3809715000).

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

1387855560 is a wasteful number, since it uses less digits than its factorization.

1387855560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 48.

The square root of 1387855560 is about 37253.9334835934. The cubic root of 1387855560 is about 1115.4448170586. Note that the first 3 decimals are identical.

The spelling of 1387855560 in words is "one billion, three hundred eighty-seven million, eight hundred fifty-five thousand, five hundred sixty".