90003919400080 has 160 divisors (see below), whose sum is σ = 249558037977600. Its totient is φ = 29516009250816.

The previous prime is 90003919400039. The next prime is 90003919400089. The reversal of 90003919400080 is 8000491930009.

90003919400080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (90003919400089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 639666376 + ... + 639807064.

It is an arithmetic number, because the mean of its divisors is an integer number (1559737737360).

Almost surely, 2^{90003919400080} is an apocalyptic number.

It is an amenable number.

90003919400080 is an abundant number, since it is smaller than the sum of its proper divisors (159554118577520).

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

90003919400080 is a wasteful number, since it uses less digits than its factorization.

90003919400080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190401 (or 190395 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

The spelling of 90003919400080 in words is "ninety trillion, three billion, nine hundred nineteen million, four hundred thousand, eighty".