85553043840 has 768 divisors, whose sum is σ = 337426689600. Its totient is φ = 19783680000.

The previous prime is 85553043833. The next prime is 85553043841. The reversal of 85553043840 is 4834035558.

85553043840 is a `hidden beast` number, since 85 + 5 + 530 + 4 + 38 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85553043841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 185581210 + ... + 185581670.

Almost surely, 2^85553043840 is an apocalyptic number.

85553043840 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 85553043840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168713344800).

85553043840 is an abundant number, since it is smaller than the sum of its proper divisors (251873645760).

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

85553043840 is a wasteful number, since it uses less digits than its factorization.

85553043840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 85553043840 in words is "eighty-five billion, five hundred fifty-three million, forty-three thousand, eight hundred forty".