85684881638400 has 1056 divisors, whose sum is σ = 328947929556480. Its totient is φ = 19440402432000.

The previous prime is 85684881638381. The next prime is 85684881638467. The reversal of 85684881638400 is 483618848658.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-3 number, since 3×85684881638400³ (a number of 43 digits) contains 333 as substring.

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, 2570709735 + ... + 2570743065.

Almost surely, 2^{85684881638400} is an apocalyptic number.

85684881638400 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 85684881638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164473964778240).

85684881638400 is an abundant number, since it is smaller than the sum of its proper divisors (243263047918080).

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

85684881638400 is a wasteful number, since it uses less digits than its factorization.

85684881638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33571 (or 33548 counting only the distinct ones).

The product of its (nonzero) digits is 283115520, while the sum is 69.

The spelling of 85684881638400 in words is "eighty-five trillion, six hundred eighty-four billion, eight hundred eighty-one million, six hundred thirty-eight thousand, four hundred".