90153219199680 has 2688 divisors, whose sum is σ = 403698694963200. Its totient is φ = 18330119700480.

The previous prime is 90153219199643. The next prime is 90153219199699. The reversal of 90153219199680 is 8699191235109.

90153219199680 is a `hidden beast` number, since 9 + 0 + 1 + 532 + 1 + 9 + 1 + 9 + 96 + 8 + 0 = 666.

90153219199680 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 172377091899 + ... + 172377092421.

It is an arithmetic number, because the mean of its divisors is an integer number (150185526400).

Almost surely, 2^{90153219199680} is an apocalyptic number.

90153219199680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90153219199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201849347481600).

90153219199680 is an abundant number, since it is smaller than the sum of its proper divisors (313545475763520).

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

90153219199680 is a wasteful number, since it uses less digits than its factorization.

90153219199680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 63.

The spelling of 90153219199680 in words is "ninety trillion, one hundred fifty-three billion, two hundred nineteen million, one hundred ninety-nine thousand, six hundred eighty".