1385527852800 has 3456 divisors, whose sum is σ = 6806084382720. Its totient is φ = 267544166400.

The previous prime is 1385527852739. The next prime is 1385527852831. The reversal of 1385527852800 is 82587255831.

1385527852800 is a `hidden beast` number, since 1 + 3 + 8 + 552 + 7 + 8 + 5 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18979833564 + ... + 18979833636.

It is an arithmetic number, because the mean of its divisors is an integer number (1969353120).

Almost surely, 2^{1385527852800} is an apocalyptic number.

1385527852800 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 1385527852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403042191360).

1385527852800 is an abundant number, since it is smaller than the sum of its proper divisors (5420556529920).

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

1385527852800 is a wasteful number, since it uses less digits than its factorization.

1385527852800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 1385527852800 in words is "one trillion, three hundred eighty-five billion, five hundred twenty-seven million, eight hundred fifty-two thousand, eight hundred".