85508628480 has 1008 divisors, whose sum is σ = 342633799872. Its totient is φ = 20437401600.

The previous prime is 85508628479. The next prime is 85508628503. The reversal of 85508628480 is 8482680558.

It is a happy number.

85508628480 is a `hidden beast` number, since 8 + 5 + 5 + 0 + 8 + 628 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×85508628480² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1204346845 + ... + 1204346915.

It is an arithmetic number, because the mean of its divisors is an integer number (339914484).

Almost surely, 2^85508628480 is an apocalyptic number.

85508628480 is a gapful number since it is divisible by the number (80) 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 85508628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171316899936).

85508628480 is an abundant number, since it is smaller than the sum of its proper divisors (257125171392).

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

85508628480 is an equidigital number, since it uses as much as digits as its factorization.

85508628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 85508628480 in words is "eighty-five billion, five hundred eight million, six hundred twenty-eight thousand, four hundred eighty".