85651774158720 has 512 divisors, whose sum is σ = 345176535490560. Its totient is φ = 17547096268800.

The previous prime is 85651774158707. The next prime is 85651774158733. The reversal of 85651774158720 is 2785147715658.

It is an interprime number because it is at equal distance from previous prime (85651774158707) and next prime (85651774158733).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6416679 + ... + 14576601.

It is an arithmetic number, because the mean of its divisors is an integer number (674172920880).

Almost surely, 2^{85651774158720} is an apocalyptic number.

85651774158720 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 85651774158720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172588267745280).

85651774158720 is an abundant number, since it is smaller than the sum of its proper divisors (259524761331840).

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

85651774158720 is a wasteful number, since it uses less digits than its factorization.

85651774158720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8160034 (or 8160022 counting only the distinct ones).

The product of its (nonzero) digits is 131712000, while the sum is 66.

The spelling of 85651774158720 in words is "eighty-five trillion, six hundred fifty-one billion, seven hundred seventy-four million, one hundred fifty-eight thousand, seven hundred twenty".