1385071105500 has 72 divisors (see below), whose sum is σ = 4369437661680. Its totient is φ = 369352293600.

The previous prime is 1385071105471. The next prime is 1385071105529. The reversal of 1385071105500 is 55011705831.

1385071105500 is a `hidden beast` number, since 1 + 3 + 85 + 0 + 71 + 1 + 0 + 5 + 500 = 666.

It is an interprime number because it is at equal distance from previous prime (1385071105471) and next prime (1385071105529).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153892290 + ... + 153901289.

It is an arithmetic number, because the mean of its divisors is an integer number (60686634190).

Almost surely, 2^{1385071105500} is an apocalyptic number.

1385071105500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1385071105500 is an abundant number, since it is smaller than the sum of its proper divisors (2984366556180).

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

1385071105500 is a wasteful number, since it uses less digits than its factorization.

1385071105500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307793604 (or 307793589 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 36.

The spelling of 1385071105500 in words is "one trillion, three hundred eighty-five billion, seventy-one million, one hundred five thousand, five hundred".