90768942835200 has 3840 divisors, whose sum is σ = 413070704640000. Its totient is φ = 19459657728000.

The previous prime is 90768942835183. The next prime is 90768942835223. The reversal of 90768942835200 is 253824986709.

90768942835200 is a `hidden beast` number, since 9 + 0 + 7 + 6 + 89 + 4 + 28 + 3 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 430184563095 + ... + 430184563305.

It is an arithmetic number, because the mean of its divisors is an integer number (107570496000).

Almost surely, 2^{90768942835200} is an apocalyptic number.

90768942835200 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 90768942835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206535352320000).

90768942835200 is an abundant number, since it is smaller than the sum of its proper divisors (322301761804800).

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

90768942835200 is a wasteful number, since it uses less digits than its factorization.

90768942835200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 90768942835200 in words is "ninety trillion, seven hundred sixty-eight billion, nine hundred forty-two million, eight hundred thirty-five thousand, two hundred".