85742444880 has 240 divisors, whose sum is σ = 291057871104. Its totient is φ = 22619151360.

The previous prime is 85742444869. The next prime is 85742444897. The reversal of 85742444880 is 8844424758.

85742444880 is a `hidden beast` number, since 8 + 574 + 24 + 4 + 48 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 34614202 + ... + 34616678.

Almost surely, 2^85742444880 is an apocalyptic number.

85742444880 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 85742444880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145528935552).

85742444880 is an abundant number, since it is smaller than the sum of its proper divisors (205315426224).

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

85742444880 is a wasteful number, since it uses less digits than its factorization.

85742444880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 9175040, while the sum is 54.

The spelling of 85742444880 in words is "eighty-five billion, seven hundred forty-two million, four hundred forty-four thousand, eight hundred eighty".