90341092800 has 1344 divisors, whose sum is σ = 406373990400. Its totient is φ = 19068825600.

The previous prime is 90341092727. The next prime is 90341092801. The reversal of 90341092800 is 829014309.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90341092801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 215610991 + ... + 215611409.

It is an arithmetic number, because the mean of its divisors is an integer number (302361600).

Almost surely, 2^90341092800 is an apocalyptic number.

90341092800 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 90341092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203186995200).

90341092800 is an abundant number, since it is smaller than the sum of its proper divisors (316032897600).

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

90341092800 is a wasteful number, since it uses less digits than its factorization.

90341092800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 90341092800 in words is "ninety billion, three hundred forty-one million, ninety-two thousand, eight hundred".