90204141404160 has 2400 divisors, whose sum is σ = 385310728535040. Its totient is φ = 19758518894592.

The previous prime is 90204141404101. The next prime is 90204141404161. The reversal of 90204141404160 is 6140414140209.

It is a happy number.

90204141404160 is a `hidden beast` number, since 9 + 0 + 2 + 0 + 414 + 140 + 41 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (90204141404161) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 125457776281 + ... + 125457776999.

Almost surely, 2^{90204141404160} is an apocalyptic number.

90204141404160 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 90204141404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192655364267520).

90204141404160 is an abundant number, since it is smaller than the sum of its proper divisors (295106587130880).

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

90204141404160 is an equidigital number, since it uses as much as digits as its factorization.

90204141404160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 90204141404160 its reverse (6140414140209), we get a palindrome (96344555544369).

It can be divided in two parts, 902041 and 41404160, that added together give a triangular number (42306201 = T₉₁₉₈).

The spelling of 90204141404160 in words is "ninety trillion, two hundred four billion, one hundred forty-one million, four hundred four thousand, one hundred sixty".