85828894997760 has 1728 divisors, whose sum is σ = 347854290739200. Its totient is φ = 19971333292032.

The previous prime is 85828894997731. The next prime is 85828894997761. The reversal of 85828894997760 is 6779949882858.

85828894997760 is a `hidden beast` number, since 8 + 58 + 2 + 8 + 8 + 9 + 499 + 7 + 7 + 60 = 666.

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 (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85828894997761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8919136309 + ... + 8919145931.

It is an arithmetic number, because the mean of its divisors is an integer number (201304566400).

Almost surely, 2^{85828894997760} is an apocalyptic number.

85828894997760 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 85828894997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173927145369600).

85828894997760 is an abundant number, since it is smaller than the sum of its proper divisors (262025395741440).

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

85828894997760 is a wasteful number, since it uses less digits than its factorization.

85828894997760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9753 (or 9716 counting only the distinct ones).

The product of its (nonzero) digits is 35115171840, while the sum is 90.

The spelling of 85828894997760 in words is "eighty-five trillion, eight hundred twenty-eight billion, eight hundred ninety-four million, nine hundred ninety-seven thousand, seven hundred sixty".