85758400000 has 960 divisors, whose sum is σ = 286421667840. Its totient is φ = 24883200000.

The previous prime is 85758399967. The next prime is 85758400033. The reversal of 85758400000 is 485758.

It is an interprime number because it is at equal distance from previous prime (85758399967) and next prime (85758400033).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2766399985 + ... + 2766400015.

It is an arithmetic number, because the mean of its divisors is an integer number (298355904).

Almost surely, 2^85758400000 is an apocalyptic number.

85758400000 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 85758400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143210833920).

85758400000 is an abundant number, since it is smaller than the sum of its proper divisors (200663267840).

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

85758400000 is an equidigital number, since it uses as much as digits as its factorization.

85758400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 37.

Adding to 85758400000 its reverse (485758), we get a palindrome (85758885758).

The spelling of 85758400000 in words is "eighty-five billion, seven hundred fifty-eight million, four hundred thousand".