1820752068096 has 480 divisors, whose sum is σ = 5834607498720. Its totient is φ = 543114657792.

The previous prime is 1820752068019. The next prime is 1820752068103. The reversal of 1820752068096 is 6908602570281.

1820752068096 is a `hidden beast` number, since 1 + 8 + 20 + 7 + 520 + 6 + 8 + 0 + 96 = 666.

It is a super-2 number, since 2×1820752068096² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258003000 + ... + 258010056.

It is an arithmetic number, because the mean of its divisors is an integer number (12155432289).

Almost surely, 2^{1820752068096} is an apocalyptic number.

1820752068096 is a gapful number since it is divisible by the number (16) 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 1820752068096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2917303749360).

1820752068096 is an abundant number, since it is smaller than the sum of its proper divisors (4013855430624).

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

1820752068096 is a wasteful number, since it uses less digits than its factorization.

1820752068096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7226 (or 7207 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1820752068096 in words is "one trillion, eight hundred twenty billion, seven hundred fifty-two million, sixty-eight thousand, ninety-six".