85142534400 has 1728 divisors, whose sum is σ = 399041126400. Its totient is φ = 17468006400.

The previous prime is 85142534387. The next prime is 85142534413. The reversal of 85142534400 is 443524158.

It is a happy number.

85142534400 is a `hidden beast` number, since 85 + 1 + 4 + 2 + 534 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (85142534387) and next prime (85142534413).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1077753561 + ... + 1077753639.

Almost surely, 2^85142534400 is an apocalyptic number.

85142534400 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 85142534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199520563200).

85142534400 is an abundant number, since it is smaller than the sum of its proper divisors (313898592000).

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

85142534400 is an equidigital number, since it uses as much as digits as its factorization.

85142534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 85142534400 in words is "eighty-five billion, one hundred forty-two million, five hundred thirty-four thousand, four hundred".