8860861958400 has 729 divisors, whose sum is σ = 32291333743851. Its totient is φ = 2318126653440.

The previous prime is 8860861958387. The next prime is 8860861958437. The reversal of 8860861958400 is 48591680688.

The square root of 8860861958400 is 2976720.

It is a perfect power (a square), and thus also a powerful number.

8860861958400 is a `hidden beast` number, since 8 + 8 + 6 + 0 + 8 + 619 + 5 + 8 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1071672166656 + 7789189791744 = 1035216^2 + 2790912^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 56438611122 + ... + 56438611278.

Almost surely, 2^{8860861958400} is an apocalyptic number.

8860861958400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8860861958400 is the 2976720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8860861958400

8860861958400 is an abundant number, since it is smaller than the sum of its proper divisors (23430471785451).

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

8860861958400 is an equidigital number, since it uses as much as digits as its factorization.

8860861958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 8860861958400 in words is "eight trillion, eight hundred sixty billion, eight hundred sixty-one million, nine hundred fifty-eight thousand, four hundred".