90290138057472 has 288 divisors, whose sum is σ = 262026972748800. Its totient is φ = 27493708529664.

The previous prime is 90290138057411. The next prime is 90290138057503. The reversal of 90290138057472 is 27475083109209.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60112158 + ... + 61595874.

It is an arithmetic number, because the mean of its divisors is an integer number (909815877600).

Almost surely, 2^{90290138057472} 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 90290138057472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131013486374400).

90290138057472 is an abundant number, since it is smaller than the sum of its proper divisors (171736834691328).

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

90290138057472 is a wasteful number, since it uses less digits than its factorization.

90290138057472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483891 (or 1483877 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 90290138057472 in words is "ninety trillion, two hundred ninety billion, one hundred thirty-eight million, fifty-seven thousand, four hundred seventy-two".