90827945784576 has 1296 divisors, whose sum is σ = 359512221519360. Its totient is φ = 21678416363520.

The previous prime is 90827945784547. The next prime is 90827945784577. The reversal of 90827945784576 is 67548754972809.

90827945784576 is a `hidden beast` number, since 9 + 0 + 8 + 2 + 7 + 94 + 5 + 78 + 457 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 90827945784495 and 90827945784504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90827945784577) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3600127930 + ... + 3600153158.

Almost surely, 2^{90827945784576} is an apocalyptic number.

90827945784576 is a gapful number since it is divisible by the number (96) 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 90827945784576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179756110759680).

90827945784576 is an abundant number, since it is smaller than the sum of its proper divisors (268684275734784).

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

90827945784576 is a wasteful number, since it uses less digits than its factorization.

90827945784576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25512 (or 25488 counting only the distinct ones).

The product of its (nonzero) digits is 8534937600, while the sum is 81.

The spelling of 90827945784576 in words is "ninety trillion, eight hundred twenty-seven billion, nine hundred forty-five million, seven hundred eighty-four thousand, five hundred seventy-six".