90849019934400 has 1344 divisors, whose sum is σ = 369252234344448. Its totient is φ = 19042709667840.

The previous prime is 90849019934389. The next prime is 90849019934527. The reversal of 90849019934400 is 443991094809.

It is a happy number.

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

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66458682517 + ... + 66458683883.

It is an arithmetic number, because the mean of its divisors is an integer number (274741245792).

Almost surely, 2^{90849019934400} 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 90849019934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184626117172224).

90849019934400 is an abundant number, since it is smaller than the sum of its proper divisors (278403214410048).

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

90849019934400 is a wasteful number, since it uses less digits than its factorization.

90849019934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 60.

The spelling of 90849019934400 in words is "ninety trillion, eight hundred forty-nine billion, nineteen million, nine hundred thirty-four thousand, four hundred".