90515738583288 has 64 divisors (see below), whose sum is σ = 251434498464000. Its totient is φ = 30171685906656.

The previous prime is 90515738583271. The next prime is 90515738583299. The reversal of 90515738583288 is 88238583751509.

90515738583288 is a `hidden beast` number, since 9 + 0 + 5 + 1 + 5 + 7 + 38 + 583 + 2 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 28534531 + ... + 31547597.

It is an arithmetic number, because the mean of its divisors is an integer number (3928664038500).

Almost surely, 2^{90515738583288} is an apocalyptic number.

It is an amenable number.

90515738583288 is an abundant number, since it is smaller than the sum of its proper divisors (160918759880712).

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

90515738583288 is a wasteful number, since it uses less digits than its factorization.

90515738583288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3152161 (or 3152151 counting only the distinct ones).

The product of its (nonzero) digits is 580608000, while the sum is 72.

The spelling of 90515738583288 in words is "ninety trillion, five hundred fifteen billion, seven hundred thirty-eight million, five hundred eighty-three thousand, two hundred eighty-eight".