85552080768 has 768 divisors, whose sum is σ = 325241280000. Its totient is φ = 22221319680.

The previous prime is 85552080743. The next prime is 85552080769. The reversal of 85552080768 is 86708025558.

It is a happy number.

85552080768 is a `hidden beast` number, since 8 + 5 + 552 + 0 + 80 + 7 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85552080769) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7777461883 + ... + 7777461893.

It is an arithmetic number, because the mean of its divisors is an integer number (423491250).

Almost surely, 2^85552080768 is an apocalyptic number.

85552080768 is a gapful number since it is divisible by the number (88) 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 85552080768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162620640000).

85552080768 is an abundant number, since it is smaller than the sum of its proper divisors (239689199232).

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

85552080768 is an frugal number, since it uses more digits than its factorization.

85552080768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 85552080768 in words is "eighty-five billion, five hundred fifty-two million, eighty thousand, seven hundred sixty-eight".