85552077312000 has 3328 divisors, whose sum is σ = 370021916759040. Its totient is φ = 19308478464000.

The previous prime is 85552077311993. The next prime is 85552077312011. The reversal of 85552077312000 is 21377025558.

85552077312000 is a `hidden beast` number, since 8 + 5 + 5 + 520 + 77 + 31 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 125259263659 + ... + 125259264341.

It is an arithmetic number, because the mean of its divisors is an integer number (111184470180).

Almost surely, 2^{85552077312000} is an apocalyptic number.

85552077312000 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 85552077312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185010958379520).

85552077312000 is an abundant number, since it is smaller than the sum of its proper divisors (284469839447040).

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

85552077312000 is a wasteful number, since it uses less digits than its factorization.

85552077312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 85552077312000 in words is "eighty-five trillion, five hundred fifty-two billion, seventy-seven million, three hundred twelve thousand".