8158278312900 has 243 divisors, whose sum is σ = 26993770063533. Its totient is φ = 2060627428800.

The previous prime is 8158278312883. The next prime is 8158278312973. The reversal of 8158278312900 is 92138728518.

The square root of 8158278312900 is 2856270.

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

8158278312900 is a `hidden beast` number, since 8 + 1 + 58 + 278 + 31 + 290 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2936980192644 + 5221298120256 = 1713762^2 + 2285016^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 1628071395 + ... + 1628076405.

Almost surely, 2^{8158278312900} is an apocalyptic number.

8158278312900 is the 2856270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8158278312900

8158278312900 is an abundant number, since it is smaller than the sum of its proper divisors (18835491750633).

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

8158278312900 is a wasteful number, since it uses less digits than its factorization.

8158278312900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10080 (or 5040 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 8158278312900 in words is "eight trillion, one hundred fifty-eight billion, two hundred seventy-eight million, three hundred twelve thousand, nine hundred".