85923580841280 has 1344 divisors, whose sum is σ = 371059963642368. Its totient is φ = 17766445547520.

The previous prime is 85923580841257. The next prime is 85923580841297. The reversal of 85923580841280 is 8214808532958.

85923580841280 is a `hidden beast` number, since 8 + 5 + 9 + 2 + 3 + 580 + 8 + 41 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4428356059 + ... + 4428375461.

It is an arithmetic number, because the mean of its divisors is an integer number (276086282472).

Almost surely, 2^{85923580841280} is an apocalyptic number.

85923580841280 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 85923580841280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185529981821184).

85923580841280 is an abundant number, since it is smaller than the sum of its proper divisors (285136382801088).

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

85923580841280 is a wasteful number, since it uses less digits than its factorization.

85923580841280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19784 (or 19771 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 63.

The spelling of 85923580841280 in words is "eighty-five trillion, nine hundred twenty-three billion, five hundred eighty million, eight hundred forty-one thousand, two hundred eighty".