85399142400 has 1344 divisors, whose sum is σ = 373047764040. Its totient is φ = 19110297600.

The previous prime is 85399142383. The next prime is 85399142407. The reversal of 85399142400 is 424199358.

85399142400 is a `hidden beast` number, since 8 + 5 + 399 + 14 + 240 + 0 = 666.

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 (85399142407) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 6569164794 + ... + 6569164806.

Almost surely, 2^85399142400 is an apocalyptic number.

85399142400 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 85399142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186523882020).

85399142400 is an abundant number, since it is smaller than the sum of its proper divisors (287648621640).

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

85399142400 is an equidigital number, since it uses as much as digits as its factorization.

85399142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 85399142400 in words is "eighty-five billion, three hundred ninety-nine million, one hundred forty-two thousand, four hundred".