90053977747968 has 1280 divisors, whose sum is σ = 320454369607680. Its totient is φ = 24699528806400.

The previous prime is 90053977747949. The next prime is 90053977747969. The reversal of 90053977747968 is 86974777935009.

90053977747968 is a `hidden beast` number, since 9 + 0 + 0 + 53 + 97 + 7 + 7 + 479 + 6 + 8 = 666.

90053977747968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (90053977747969) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4451276413 + ... + 4451296643.

It is an arithmetic number, because the mean of its divisors is an integer number (250354976256).

Almost surely, 2^{90053977747968} 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 90053977747968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160227184803840).

90053977747968 is an abundant number, since it is smaller than the sum of its proper divisors (230400391859712).

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

90053977747968 is a wasteful number, since it uses less digits than its factorization.

90053977747968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20366 (or 20344 counting only the distinct ones).

The product of its (nonzero) digits is 5040947520, while the sum is 81.

The spelling of 90053977747968 in words is "ninety trillion, fifty-three billion, nine hundred seventy-seven million, seven hundred forty-seven thousand, nine hundred sixty-eight".