1050080028624 has 240 divisors, whose sum is σ = 3314868251520. Its totient is φ = 318030451200.

The previous prime is 1050080028577. The next prime is 1050080028629. The reversal of 1050080028624 is 4268200800501.

1050080028624 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 0 + 8 + 0 + 0 + 28 + 624 = 666.

It is a super-2 number, since 2×1050080028624² (a number of 25 digits) contains 22 as substring.

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 (1050080028629) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 119228029 + ... + 119236835.

It is an arithmetic number, because the mean of its divisors is an integer number (13811951048).

Almost surely, 2^{1050080028624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1050080028624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657434125760).

1050080028624 is an abundant number, since it is smaller than the sum of its proper divisors (2264788222896).

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

1050080028624 is a wasteful number, since it uses less digits than its factorization.

1050080028624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11127 (or 11104 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 1050080028624 in words is "one trillion, fifty billion, eighty million, twenty-eight thousand, six hundred twenty-four".