90120489161004 has 96 divisors (see below), whose sum is σ = 239357682002880. Its totient is φ = 29305848384000.

The previous prime is 90120489160957. The next prime is 90120489161009. The reversal of 90120489161004 is 40016198402109.

It is a happy number.

90120489161004 is a `hidden beast` number, since 9 + 0 + 1 + 2 + 0 + 489 + 161 + 0 + 0 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (90120489161009) 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, 80480782 + ... + 81592874.

It is an arithmetic number, because the mean of its divisors is an integer number (2493309187530).

Almost surely, 2^{90120489161004} is an apocalyptic number.

It is an amenable number.

90120489161004 is an abundant number, since it is smaller than the sum of its proper divisors (149237192841876).

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

90120489161004 is a wasteful number, since it uses less digits than its factorization.

90120489161004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130448 (or 1130440 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 90120489161004 in words is "ninety trillion, one hundred twenty billion, four hundred eighty-nine million, one hundred sixty-one thousand, four".