90080280377856 has 480 divisors, whose sum is σ = 282608720634240. Its totient is φ = 27545724518400.

The previous prime is 90080280377777. The next prime is 90080280377861. The reversal of 90080280377856 is 65877308208009.

90080280377856 is a `hidden beast` number, since 90 + 0 + 80 + 28 + 0 + 377 + 85 + 6 = 666.

90080280377856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×90080280377856² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90080280377793 and 90080280377802.

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 47 ways as a sum of consecutive naturals, for example, 256199616 + ... + 256550976.

It is an arithmetic number, because the mean of its divisors is an integer number (588768167988).

Almost surely, 2^{90080280377856} is an apocalyptic number.

90080280377856 is a gapful number since it is divisible by the number (96) 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 90080280377856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141304360317120).

90080280377856 is an abundant number, since it is smaller than the sum of its proper divisors (192528440256384).

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

90080280377856 is a wasteful number, since it uses less digits than its factorization.

90080280377856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351508 (or 351489 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 90080280377856 in words is "ninety trillion, eighty billion, two hundred eighty million, three hundred seventy-seven thousand, eight hundred fifty-six".