85624773120 has 480 divisors, whose sum is σ = 318512113920. Its totient is φ = 21180579840.

The previous prime is 85624773061. The next prime is 85624773139. The reversal of 85624773120 is 2137742658.

85624773120 is a `hidden beast` number, since 8 + 5 + 624 + 7 + 7 + 3 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27807741 + ... + 27810819.

It is an arithmetic number, because the mean of its divisors is an integer number (663566904).

Almost surely, 2^85624773120 is an apocalyptic number.

85624773120 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 85624773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159256056960).

85624773120 is an abundant number, since it is smaller than the sum of its proper divisors (232887340800).

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

85624773120 is a wasteful number, since it uses less digits than its factorization.

85624773120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3196 (or 3177 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 85624773120 in words is "eighty-five billion, six hundred twenty-four million, seven hundred seventy-three thousand, one hundred twenty".