85246764768000 has 1152 divisors, whose sum is σ = 345400729390080. Its totient is φ = 20533893120000.

The previous prime is 85246764767971. The next prime is 85246764768029. The reversal of 85246764768000 is 86746764258.

85246764768000 is a `hidden beast` number, since 8 + 5 + 24 + 67 + 6 + 476 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (85246764767971) and next prime (85246764768029).

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1492099435 + ... + 1492156565.

It is an arithmetic number, because the mean of its divisors is an integer number (299827022040).

Almost surely, 2^{85246764768000} is an apocalyptic number.

85246764768000 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 85246764768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172700364695040).

85246764768000 is an abundant number, since it is smaller than the sum of its proper divisors (260153964622080).

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

85246764768000 is a wasteful number, since it uses less digits than its factorization.

85246764768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57339 (or 57309 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 85246764768000 in words is "eighty-five trillion, two hundred forty-six billion, seven hundred sixty-four million, seven hundred sixty-eight thousand".