85848365030400 has 4356 divisors, whose sum is σ = 397262372535480. Its totient is φ = 18284971622400.

The previous prime is 85848365030399. The next prime is 85848365030413. The reversal of 85848365030400 is 403056384858.

85848365030400 is a `hidden beast` number, since 8 + 5 + 84 + 83 + 6 + 50 + 30 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 395 ways as a sum of consecutive naturals, for example, 1407350246370 + ... + 1407350246430.

Almost surely, 2^{85848365030400} is an apocalyptic number.

85848365030400 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 85848365030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198631186267740).

85848365030400 is an abundant number, since it is smaller than the sum of its proper divisors (311414007505080).

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

85848365030400 is an equidigital number, since it uses as much as digits as its factorization.

85848365030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 85848365030400 in words is "eighty-five trillion, eight hundred forty-eight billion, three hundred sixty-five million, thirty thousand, four hundred".