89785417825080 has 192 divisors, whose sum is σ = 304685936661600. Its totient is φ = 22901116492800.

The previous prime is 89785417824979. The next prime is 89785417825121. The reversal of 89785417825080 is 8052871458798.

89785417825080 is a `hidden beast` number, since 8 + 9 + 7 + 8 + 5 + 41 + 78 + 2 + 508 + 0 = 666.

89785417825080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×89785417825080² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39070471 + ... + 41304630.

Almost surely, 2^{89785417825080} is an apocalyptic number.

It is an amenable number.

89785417825080 is an abundant number, since it is smaller than the sum of its proper divisors (214900518836520).

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

89785417825080 is a wasteful number, since it uses less digits than its factorization.

89785417825080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80375254 (or 80375247 counting only the distinct ones).

The product of its (nonzero) digits is 361267200, while the sum is 72.

The spelling of 89785417825080 in words is "eighty-nine trillion, seven hundred eighty-five billion, four hundred seventeen million, eight hundred twenty-five thousand, eighty".