90607481127936 has 352 divisors, whose sum is σ = 275428507334400. Its totient is φ = 29407082250240.

The previous prime is 90607481127893. The next prime is 90607481127937. The reversal of 90607481127936 is 63972118470609.

90607481127936 is a `hidden beast` number, since 9 + 0 + 60 + 7 + 481 + 1 + 2 + 7 + 93 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (90607481127937) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 570105250 + ... + 570264158.

Almost surely, 2^{90607481127936} is an apocalyptic number.

90607481127936 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 90607481127936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137714253667200).

90607481127936 is an abundant number, since it is smaller than the sum of its proper divisors (184821026206464).

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

90607481127936 is a wasteful number, since it uses less digits than its factorization.

90607481127936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159482 (or 159458 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 90607481127936 in words is "ninety trillion, six hundred seven billion, four hundred eighty-one million, one hundred twenty-seven thousand, nine hundred thirty-six".