85138609780224 has 3600 divisors, whose sum is σ = 360952083588096. Its totient is φ = 19727201894400.

The previous prime is 85138609780219. The next prime is 85138609780229. The reversal of 85138609780224 is 42208790683158.

85138609780224 is a `hidden beast` number, since 8 + 5 + 13 + 8 + 609 + 7 + 8 + 0 + 2 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (85138609780219) and next prime (85138609780229).

It is a super-3 number, since 3×85138609780224³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85138609780229) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 117109504149 + ... + 117109504875.

It is a 1-persistent number, because it is pandigital, but 2⋅85138609780224 = 170277219560448 is not.

Almost surely, 2^{85138609780224} is an apocalyptic number.

85138609780224 is a gapful number since it is divisible by the number (84) 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 85138609780224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180476041794048).

85138609780224 is an abundant number, since it is smaller than the sum of its proper divisors (275813473807872).

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

85138609780224 is a wasteful number, since it uses less digits than its factorization.

85138609780224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 85138609780224 in words is "eighty-five trillion, one hundred thirty-eight billion, six hundred nine million, seven hundred eighty thousand, two hundred twenty-four".