127863456400 has 135 divisors (see below), whose sum is σ = 324555803643. Its totient is φ = 48402028800.

The previous prime is 127863456377. The next prime is 127863456403. The reversal of 127863456400 is 4654368721.

The square root of 127863456400 is 357580.

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

It can be written as a sum of positive squares in 4 ways, for example, as 54346384 + 127809110016 = 7372^2 + 357504^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127863456403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 135879930 + ... + 135880870.

Almost surely, 2^127863456400 is an apocalyptic number.

127863456400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

127863456400 is the 357580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127863456400

127863456400 is an abundant number, since it is smaller than the sum of its proper divisors (196692347243).

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

127863456400 is an frugal number, since it uses more digits than its factorization.

127863456400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 127863456400 in words is "one hundred twenty-seven billion, eight hundred sixty-three million, four hundred fifty-six thousand, four hundred".