90854212339200 has 480 divisors, whose sum is σ = 310461603471360. Its totient is φ = 23397153177600.

The previous prime is 90854212339183. The next prime is 90854212339201. The reversal of 90854212339200 is 293321245809.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 90854212339200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90854212339201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 570121932 + ... + 570281268.

It is an arithmetic number, because the mean of its divisors is an integer number (646795007232).

Almost surely, 2^{90854212339200} 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 90854212339200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155230801735680).

90854212339200 is an abundant number, since it is smaller than the sum of its proper divisors (219607391132160).

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

90854212339200 is a wasteful number, since it uses less digits than its factorization.

90854212339200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159878 (or 159857 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 90854212339200 in words is "ninety trillion, eight hundred fifty-four billion, two hundred twelve million, three hundred thirty-nine thousand, two hundred".