1828081013760 has 396 divisors, whose sum is σ = 6728823078588. Its totient is φ = 458809147392.

The previous prime is 1828081013729. The next prime is 1828081013791. The reversal of 1828081013760 is 673101808281.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1828081013729) and next prime (1828081013791).

It can be written as a sum of positive squares in 6 ways, for example, as 421522965504 + 1406558048256 = 649248^2 + 1185984^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13248484 + ... + 13385756.

Almost surely, 2^{1828081013760} is an apocalyptic number.

1828081013760 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 1828081013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3364411539294).

1828081013760 is an abundant number, since it is smaller than the sum of its proper divisors (4900742064828).

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

1828081013760 is a wasteful number, since it uses less digits than its factorization.

1828081013760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137338 (or 137300 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 1828081013760 in words is "one trillion, eight hundred twenty-eight billion, eighty-one million, thirteen thousand, seven hundred sixty".