1020144828060 has 192 divisors, whose sum is σ = 3190251939840. Its totient is φ = 270630823680.

The previous prime is 1020144828023. The next prime is 1020144828089. The reversal of 1020144828060 is 608284410201.

1020144828060 is a `hidden beast` number, since 1 + 0 + 201 + 448 + 2 + 8 + 0 + 6 + 0 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83427667 + ... + 83439893.

It is an arithmetic number, because the mean of its divisors is an integer number (16615895520).

Almost surely, 2^{1020144828060} is an apocalyptic number.

1020144828060 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 1020144828060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595125969920).

1020144828060 is an abundant number, since it is smaller than the sum of its proper divisors (2170107111780).

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

1020144828060 is a wasteful number, since it uses less digits than its factorization.

1020144828060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13033 (or 13025 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 1020144828060 in words is "one trillion, twenty billion, one hundred forty-four million, eight hundred twenty-eight thousand, sixty".