1387283508900 has 405 divisors, whose sum is σ = 4709325364051. Its totient is φ = 353235928320.

The previous prime is 1387283508833. The next prime is 1387283508907. The reversal of 1387283508900 is 98053827831.

The square root of 1387283508900 is 1177830.

It is a perfect power (a square), and thus also a powerful number.

1387283508900 is a `hidden beast` number, since 138 + 72 + 8 + 350 + 8 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 329726311524 + 1057557197376 = 574218^2 + 1028376^2 .

It is a tau number, because it is divible by the number of its divisors (405).

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1387283508907) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2438107816 + ... + 2438108384.

Almost surely, 2^{1387283508900} is an apocalyptic number.

1387283508900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1387283508900 is the 1177830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1387283508900

1387283508900 is an abundant number, since it is smaller than the sum of its proper divisors (3322041855151).

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

1387283508900 is an equidigital number, since it uses as much as digits as its factorization.

1387283508900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1387283508900 in words is "one trillion, three hundred eighty-seven billion, two hundred eighty-three million, five hundred eight thousand, nine hundred".