85872050417664 has 1248 divisors, whose sum is σ = 311945168545920. Its totient is φ = 22192028909568.

The previous prime is 85872050417639. The next prime is 85872050417719. The reversal of 85872050417664 is 46671405027858.

85872050417664 is a `hidden beast` number, since 8 + 5 + 8 + 7 + 205 + 0 + 417 + 6 + 6 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29641714264 + ... + 29641717160.

It is an arithmetic number, because the mean of its divisors is an integer number (249956064540).

Almost surely, 2^{85872050417664} is an apocalyptic number.

85872050417664 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 85872050417664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155972584272960).

85872050417664 is an abundant number, since it is smaller than the sum of its proper divisors (226073118128256).

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

85872050417664 is a wasteful number, since it uses less digits than its factorization.

85872050417664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3213 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 85872050417664 in words is "eighty-five trillion, eight hundred seventy-two billion, fifty million, four hundred seventeen thousand, six hundred sixty-four".