85884941507904 has 1344 divisors, whose sum is σ = 333584980377600. Its totient is φ = 21168805109760.

The previous prime is 85884941507887. The next prime is 85884941507971. The reversal of 85884941507904 is 40970514948858.

85884941507904 is a `hidden beast` number, since 8 + 5 + 88 + 49 + 415 + 0 + 7 + 90 + 4 = 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 (72).

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, 4275212292 + ... + 4275232380.

It is an arithmetic number, because the mean of its divisors is an integer number (248203110400).

Almost surely, 2^{85884941507904} is an apocalyptic number.

85884941507904 is a gapful number since it is divisible by the number (84) 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 85884941507904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166792490188800).

85884941507904 is an abundant number, since it is smaller than the sum of its proper divisors (247700038869696).

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

85884941507904 is a wasteful number, since it uses less digits than its factorization.

85884941507904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20289 (or 20262 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 72.

The spelling of 85884941507904 in words is "eighty-five trillion, eight hundred eighty-four billion, nine hundred forty-one million, five hundred seven thousand, nine hundred four".