90057185280 has 144 divisors (see below), whose sum is σ = 312122341440. Its totient is φ = 24015224832.

The previous prime is 90057185269. The next prime is 90057185287. The reversal of 90057185280 is 8258175009.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×90057185280² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90057185287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 396432 + ... + 580751.

It is an arithmetic number, because the mean of its divisors is an integer number (2167516260).

Almost surely, 2^90057185280 is an apocalyptic number.

90057185280 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90057185280 is an abundant number, since it is smaller than the sum of its proper divisors (222065156160).

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

90057185280 is a wasteful number, since it uses less digits than its factorization.

90057185280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977216 (or 977193 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 90057185280 in words is "ninety billion, fifty-seven million, one hundred eighty-five thousand, two hundred eighty".