85781248041600 has 1344 divisors, whose sum is σ = 339280616793600. Its totient is φ = 21373225574400.

The previous prime is 85781248041509. The next prime is 85781248041613. The reversal of 85781248041600 is 614084218758.

85781248041600 is a `hidden beast` number, since 8 + 5 + 7 + 8 + 1 + 24 + 8 + 0 + 4 + 1 + 600 = 666.

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 167 ways as a sum of consecutive naturals, for example, 2097166749 + ... + 2097207651.

Almost surely, 2^{85781248041600} is an apocalyptic number.

85781248041600 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 85781248041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169640308396800).

85781248041600 is an abundant number, since it is smaller than the sum of its proper divisors (253499368752000).

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

85781248041600 is a wasteful number, since it uses less digits than its factorization.

85781248041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41005 (or 40973 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 85781248041600 in words is "eighty-five trillion, seven hundred eighty-one billion, two hundred forty-eight million, forty-one thousand, six hundred".