1387555868160 has 2400 divisors, whose sum is σ = 6478513062912. Its totient is φ = 275626229760.

The previous prime is 1387555868131. The next prime is 1387555868177. The reversal of 1387555868160 is 618685557831.

1387555868160 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 5 + 558 + 68 + 16 + 0 = 666.

It is a super-2 number, since 2×1387555868160² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 29522465257 + ... + 29522465303.

Almost surely, 2^{1387555868160} is an apocalyptic number.

1387555868160 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 1387555868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239256531456).

1387555868160 is an abundant number, since it is smaller than the sum of its proper divisors (5090957194752).

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

1387555868160 is an equidigital number, since it uses as much as digits as its factorization.

1387555868160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 63.

The spelling of 1387555868160 in words is "one trillion, three hundred eighty-seven billion, five hundred fifty-five million, eight hundred sixty-eight thousand, one hundred sixty".