90048153069072 has 160 divisors (see below), whose sum is σ = 282046418588160. Its totient is φ = 27279823524480.

The previous prime is 90048153069067. The next prime is 90048153069143. The reversal of 90048153069072 is 27096035184009.

90048153069072 is a `hidden beast` number, since 9 + 0 + 0 + 48 + 1 + 530 + 69 + 0 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 14710723 + ... + 19912349.

It is an arithmetic number, because the mean of its divisors is an integer number (1762790116176).

It is a 1-persistent number, because it is pandigital, but 2⋅90048153069072 = 180096306138144 is not.

Almost surely, 2^{90048153069072} 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 90048153069072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141023209294080).

90048153069072 is an abundant number, since it is smaller than the sum of its proper divisors (191998265519088).

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

90048153069072 is a wasteful number, since it uses less digits than its factorization.

90048153069072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5205298 (or 5205286 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 90048153069072 in words is "ninety trillion, forty-eight billion, one hundred fifty-three million, sixty-nine thousand, seventy-two".