1385503200180 has 1152 divisors, whose sum is σ = 5126083522560. Its totient is φ = 310915584000.

The previous prime is 1385503200157. The next prime is 1385503200181. The reversal of 1385503200180 is 810023055831.

1385503200180 is a `hidden beast` number, since 1 + 3 + 8 + 550 + 3 + 20 + 0 + 1 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385503200181) by changing a digit.

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, 4513039587 + ... + 4513039893.

It is an arithmetic number, because the mean of its divisors is an integer number (4449725280).

Almost surely, 2^{1385503200180} is an apocalyptic number.

1385503200180 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 1385503200180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563041761280).

1385503200180 is an abundant number, since it is smaller than the sum of its proper divisors (3740580322380).

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

1385503200180 is a wasteful number, since it uses less digits than its factorization.

1385503200180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 1385503200180 in words is "one trillion, three hundred eighty-five billion, five hundred three million, two hundred thousand, one hundred eighty".