90353371680 has 864 divisors, whose sum is σ = 369252073008. Its totient is φ = 19983237120.

The previous prime is 90353371657. The next prime is 90353371687. The reversal of 90353371680 is 8617335309.

It can be written as a sum of positive squares in 8 ways, for example, as 1908990864 + 88444380816 = 43692^2 + 297396^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (90353371687) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 255958384 + ... + 255958736.

Almost surely, 2^90353371680 is an apocalyptic number.

90353371680 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 90353371680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184626036504).

90353371680 is an abundant number, since it is smaller than the sum of its proper divisors (278898701328).

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

90353371680 is a wasteful number, since it uses less digits than its factorization.

90353371680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 90353371680 in words is "ninety billion, three hundred fifty-three million, three hundred seventy-one thousand, six hundred eighty".