85500617646240 has 144 divisors (see below), whose sum is σ = 293044967397000. Its totient is φ = 22700600580096.

The previous prime is 85500617646221. The next prime is 85500617646253. The reversal of 85500617646240 is 4264671600558.

85500617646240 is a `hidden beast` number, since 8 + 5 + 5 + 0 + 0 + 6 + 1 + 7 + 6 + 4 + 624 + 0 = 666.

85500617646240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 83350253492496 + 2150364153744 = 9129636^2 + 1466412^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×85500617646240² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129310915 + ... + 129970434.

Almost surely, 2^{85500617646240} is an apocalyptic number.

85500617646240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85500617646240 is an abundant number, since it is smaller than the sum of its proper divisors (207544349750760).

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

85500617646240 is a wasteful number, since it uses less digits than its factorization.

85500617646240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259281599 (or 259281588 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 85500617646240 in words is "eighty-five trillion, five hundred billion, six hundred seventeen million, six hundred forty-six thousand, two hundred forty".