8127381254400 has 162 divisors, whose sum is σ = 29057222495210. Its totient is φ = 2167301652480.

The previous prime is 8127381254387. The next prime is 8127381254449. The reversal of 8127381254400 is 44521837218.

8127381254400 is a `hidden beast` number, since 8 + 1 + 27 + 3 + 81 + 2 + 544 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1991891886336 + 6135489368064 = 1411344^2 + 2476992^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 70492585 + ... + 70607784.

Almost surely, 2^{8127381254400} is an apocalyptic number.

8127381254400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8127381254400 is an abundant number, since it is smaller than the sum of its proper divisors (20929841240810).

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

8127381254400 is a wasteful number, since it uses less digits than its factorization.

8127381254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141100401 (or 141100379 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 8127381254400 in words is "eight trillion, one hundred twenty-seven billion, three hundred eighty-one million, two hundred fifty-four thousand, four hundred".