85403248128 has 840 divisors, whose sum is σ = 295045574208. Its totient is φ = 24634368000.

The previous prime is 85403248121. The next prime is 85403248199. The reversal of 85403248128 is 82184230458.

85403248128 is a `hidden beast` number, since 8 + 540 + 3 + 2 + 4 + 81 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85403248121) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1400053218 + ... + 1400053278.

Almost surely, 2^85403248128 is an apocalyptic number.

85403248128 is a gapful number since it is divisible by the number (88) 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 85403248128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147522787104).

85403248128 is an abundant number, since it is smaller than the sum of its proper divisors (209642326080).

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

85403248128 is an equidigital number, since it uses as much as digits as its factorization.

85403248128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 85403248128 in words is "eighty-five billion, four hundred three million, two hundred forty-eight thousand, one hundred twenty-eight".