85294662992640 has 576 divisors, whose sum is σ = 306746441971200. Its totient is φ = 22440239087616.

The previous prime is 85294662992639. The next prime is 85294662992641. The reversal of 85294662992640 is 4629926649258.

85294662992640 is a `hidden beast` number, since 8 + 5 + 294 + 6 + 6 + 299 + 2 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (85294662992639) and next prime (85294662992641).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (85294662992641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2119786602 + ... + 2119826838.

It is an arithmetic number, because the mean of its divisors is an integer number (532545906200).

Almost surely, 2^{85294662992640} is an apocalyptic number.

85294662992640 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 85294662992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153373220985600).

85294662992640 is an abundant number, since it is smaller than the sum of its proper divisors (221451778978560).

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

85294662992640 is a wasteful number, since it uses less digits than its factorization.

85294662992640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41089 (or 41069 counting only the distinct ones).

The product of its (nonzero) digits is 806215680, while the sum is 72.

The spelling of 85294662992640 in words is "eighty-five trillion, two hundred ninety-four billion, six hundred sixty-two million, nine hundred ninety-two thousand, six hundred forty".