85428158699520 has 3456 divisors, whose sum is σ = 385089792796800. Its totient is φ = 17708366168064.

The previous prime is 85428158699519. The next prime is 85428158699549. The reversal of 85428158699520 is 2599685182458.

It is a happy number.

85428158699520 is a `hidden beast` number, since 8 + 5 + 4 + 2 + 8 + 1 + 5 + 8 + 6 + 99 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 544128399282 + ... + 544128399438.

It is an arithmetic number, because the mean of its divisors is an integer number (111426444675).

Almost surely, 2^{85428158699520} is an apocalyptic number.

85428158699520 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 85428158699520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192544896398400).

85428158699520 is an abundant number, since it is smaller than the sum of its proper divisors (299661634097280).

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

85428158699520 is an equidigital number, since it uses as much as digits as its factorization.

85428158699520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 497664000, while the sum is 72.

The spelling of 85428158699520 in words is "eighty-five trillion, four hundred twenty-eight billion, one hundred fifty-eight million, six hundred ninety-nine thousand, five hundred twenty".