85877302197780 has 240 divisors, whose sum is σ = 269815010217984. Its totient is φ = 22865374414080.

The previous prime is 85877302197703. The next prime is 85877302197851. The reversal of 85877302197780 is 8779120377858.

85877302197780 is a `hidden beast` number, since 8 + 58 + 7 + 7 + 302 + 197 + 7 + 80 = 666.

It is a super-2 number, since 2×85877302197780² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85877302197699 and 85877302197708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8654363899 + ... + 8654373821.

Almost surely, 2^{85877302197780} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85877302197780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134907505108992).

85877302197780 is an abundant number, since it is smaller than the sum of its proper divisors (183937708020204).

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

85877302197780 is a wasteful number, since it uses less digits than its factorization.

85877302197780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17628 (or 17617 counting only the distinct ones).

The product of its (nonzero) digits is 331914240, while the sum is 72.

The spelling of 85877302197780 in words is "eighty-five trillion, eight hundred seventy-seven billion, three hundred two million, one hundred ninety-seven thousand, seven hundred eighty".