85749940224000 has 3456 divisors, whose sum is σ = 364005142824960. Its totient is φ = 19874709504000.

The previous prime is 85749940223999. The next prime is 85749940224017. The reversal of 85749940224000 is 42204994758.

It is a happy number.

85749940224000 is a `hidden beast` number, since 8 + 57 + 499 + 40 + 22 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2317565951982 + ... + 2317565952018.

It is an arithmetic number, because the mean of its divisors is an integer number (105325562160).

Almost surely, 2^{85749940224000} is an apocalyptic number.

85749940224000 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 85749940224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182002571412480).

85749940224000 is an abundant number, since it is smaller than the sum of its proper divisors (278255202600960).

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

85749940224000 is an equidigital number, since it uses as much as digits as its factorization.

85749940224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 85749940224000 in words is "eighty-five trillion, seven hundred forty-nine billion, nine hundred forty million, two hundred twenty-four thousand".