90169420800 has 264 divisors, whose sum is σ = 310977881856. Its totient is φ = 22999285760.

The previous prime is 90169420787. The next prime is 90169420813. The reversal of 90169420800 is 802496109.

It is an interprime number because it is at equal distance from previous prime (90169420787) and next prime (90169420813).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1740877 + ... + 1791923.

Almost surely, 2^90169420800 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 90169420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155488940928).

90169420800 is an abundant number, since it is smaller than the sum of its proper divisors (220808461056).

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

90169420800 is a wasteful number, since it uses less digits than its factorization.

90169420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51103 (or 51080 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 90169420800 in words is "ninety billion, one hundred sixty-nine million, four hundred twenty thousand, eight hundred".