90035815680 has 648 divisors, whose sum is σ = 330207905664. Its totient is φ = 23514624000.

The previous prime is 90035815669. The next prime is 90035815687. The reversal of 90035815680 is 8651853009.

90035815680 is a `hidden beast` number, since 9 + 0 + 0 + 3 + 5 + 81 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90035815687) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 596263605 + ... + 596263755.

Almost surely, 2^90035815680 is an apocalyptic number.

90035815680 is a gapful number since it is divisible by the number (90) 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 90035815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165103952832).

90035815680 is an abundant number, since it is smaller than the sum of its proper divisors (240172089984).

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

90035815680 is an frugal number, since it uses more digits than its factorization.

90035815680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 90035815680 in words is "ninety billion, thirty-five million, eight hundred fifteen thousand, six hundred eighty".