90416995200 has 1344 divisors, whose sum is σ = 393991524000. Its totient is φ = 20483850240.

The previous prime is 90416995181. The next prime is 90416995219. The reversal of 90416995200 is 259961409.

It is an interprime number because it is at equal distance from previous prime (90416995181) and next prime (90416995219).

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 800150344 + ... + 800150456.

Almost surely, 2^90416995200 is an apocalyptic number.

90416995200 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 90416995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196995762000).

90416995200 is an abundant number, since it is smaller than the sum of its proper divisors (303574528800).

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

90416995200 is an equidigital number, since it uses as much as digits as its factorization.

90416995200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 90416995200 in words is "ninety billion, four hundred sixteen million, nine hundred ninety-five thousand, two hundred".