85490449920 has 320 divisors, whose sum is σ = 305717575680. Its totient is φ = 22643712000.

The previous prime is 85490449901. The next prime is 85490449951. The reversal of 85490449920 is 2994409458.

85490449920 is a `hidden beast` number, since 8 + 5 + 490 + 44 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 10433025 + ... + 10441215.

It is an arithmetic number, because the mean of its divisors is an integer number (955367424).

Almost surely, 2^85490449920 is an apocalyptic number.

85490449920 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 85490449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152858787840).

85490449920 is an abundant number, since it is smaller than the sum of its proper divisors (220227125760).

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

85490449920 is a wasteful number, since it uses less digits than its factorization.

85490449920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8374 (or 8352 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 85490449920 in words is "eighty-five billion, four hundred ninety million, four hundred forty-nine thousand, nine hundred twenty".