90169200000 has 1440 divisors, whose sum is σ = 384698658960. Its totient is φ = 20908800000.

The previous prime is 90169199987. The next prime is 90169200053. The reversal of 90169200000 is 296109.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3920399989 + ... + 3920400011.

Almost surely, 2^90169200000 is an apocalyptic number.

90169200000 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 90169200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192349329480).

90169200000 is an abundant number, since it is smaller than the sum of its proper divisors (294529458960).

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

90169200000 is an equidigital number, since it uses as much as digits as its factorization.

90169200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

Adding to 90169200000 its reverse (296109), we get a palindrome (90169496109).

The spelling of 90169200000 in words is "ninety billion, one hundred sixty-nine million, two hundred thousand".