1071828607200 has 288 divisors, whose sum is σ = 3978183567456. Its totient is φ = 248314920960.

The previous prime is 1071828607189. The next prime is 1071828607207. The reversal of 1071828607200 is 27068281701.

It is a super-2 number, since 2×1071828607200² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1071828607207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 479997 + ... + 1540796.

It is an arithmetic number, because the mean of its divisors is an integer number (13813137387).

Almost surely, 2^{1071828607200} is an apocalyptic number.

1071828607200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1071828607200 is an abundant number, since it is smaller than the sum of its proper divisors (2906354960256).

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

1071828607200 is a wasteful number, since it uses less digits than its factorization.

1071828607200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020846 (or 2020833 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

It can be divided in two parts, 1071828 and 607200, that added together give a triangular number (1679028 = T₁₈₃₂).

The spelling of 1071828607200 in words is "one trillion, seventy-one billion, eight hundred twenty-eight million, six hundred seven thousand, two hundred".