85380631718400 has 960 divisors, whose sum is σ = 323738319421440. Its totient is φ = 22017329971200.

The previous prime is 85380631718399. The next prime is 85380631718413. The reversal of 85380631718400 is 481713608358.

It is a happy number.

85380631718400 is a `hidden beast` number, since 8 + 5 + 3 + 8 + 0 + 63 + 171 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

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, 22102154869 + ... + 22102158731.

It is an arithmetic number, because the mean of its divisors is an integer number (337227416064).

Almost surely, 2^{85380631718400} is an apocalyptic number.

85380631718400 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 85380631718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161869159710720).

85380631718400 is an abundant number, since it is smaller than the sum of its proper divisors (238357687703040).

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

85380631718400 is a wasteful number, since it uses less digits than its factorization.

85380631718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5994 (or 5967 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 85380631718400 in words is "eighty-five trillion, three hundred eighty billion, six hundred thirty-one million, seven hundred eighteen thousand, four hundred".