90153743680 has 672 divisors, whose sum is σ = 303084536832. Its totient is φ = 25082265600.

The previous prime is 90153743671. The next prime is 90153743683. The reversal of 90153743680 is 8634735109.

It is a self number, because there is not a number n which added to its sum of digits gives 90153743680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90153743683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69508792 + ... + 69510088.

It is an arithmetic number, because the mean of its divisors is an integer number (451018656).

Almost surely, 2^90153743680 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 90153743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151542268416).

90153743680 is an abundant number, since it is smaller than the sum of its proper divisors (212930793152).

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

90153743680 is a wasteful number, since it uses less digits than its factorization.

90153743680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 90153743680 in words is "ninety billion, one hundred fifty-three million, seven hundred forty-three thousand, six hundred eighty".