90064800028656 has 120 divisors (see below), whose sum is σ = 256411014054000. Its totient is φ = 29503257993216.

The previous prime is 90064800028627. The next prime is 90064800028733. The reversal of 90064800028656 is 65682000846009.

It is a happy number.

90064800028656 is a `hidden beast` number, since 90 + 0 + 6 + 480 + 0 + 0 + 28 + 6 + 56 = 666.

It is a super-2 number, since 2×90064800028656² (a number of 29 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 23 ways as a sum of consecutive naturals, for example, 24709200 + ... + 28118928.

It is an arithmetic number, because the mean of its divisors is an integer number (2136758450450).

Almost surely, 2^{90064800028656} 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 90064800028656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128205507027000).

90064800028656 is an abundant number, since it is smaller than the sum of its proper divisors (166346214025344).

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

90064800028656 is a wasteful number, since it uses less digits than its factorization.

90064800028656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412911 (or 3412902 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 90064800028656 in words is "ninety trillion, sixty-four billion, eight hundred million, twenty-eight thousand, six hundred fifty-six".