85613760000 has 700 divisors, whose sum is σ = 321362093712. Its totient is φ = 22768128000.

The previous prime is 85613759989. The next prime is 85613760007. The reversal of 85613760000 is 6731658.

85613760000 is a `hidden beast` number, since 8 + 561 + 37 + 60 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85613760007) by changing a digit.

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 69 ways as a sum of consecutive naturals, for example, 233279817 + ... + 233280183.

Almost surely, 2^85613760000 is an apocalyptic number.

85613760000 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 85613760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160681046856).

85613760000 is an abundant number, since it is smaller than the sum of its proper divisors (235748333712).

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

85613760000 is an frugal number, since it uses more digits than its factorization.

85613760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 85613760000 in words is "eighty-five billion, six hundred thirteen million, seven hundred sixty thousand".