821180090750 has 32 divisors (see below), whose sum is σ = 1537315191360. Its totient is φ = 328457920800.

The previous prime is 821180090711. The next prime is 821180090779. The reversal of 821180090750 is 57090081128.

It is a junction number, because it is equal to n+sod(n) for n = 821180090698 and 821180090707.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7291367 + ... + 7403133.

It is an arithmetic number, because the mean of its divisors is an integer number (48041099730).

Almost surely, 2^821180090750 is an apocalyptic number.

821180090750 is a deficient number, since it is larger than the sum of its proper divisors (716135100610).

821180090750 is a wasteful number, since it uses less digits than its factorization.

821180090750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141173 (or 141163 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 41.

The spelling of 821180090750 in words is "eight hundred twenty-one billion, one hundred eighty million, ninety thousand, seven hundred fifty".