126777001600 has 48 divisors (see below), whose sum is σ = 313178819670. Its totient is φ = 50710799360.

The previous prime is 126777001591. The next prime is 126777001639. The reversal of 126777001600 is 6100777621.

It can be written as a sum of positive squares in 3 ways, for example, as 73371640384 + 53405361216 = 270872^2 + 231096^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 126777001600.

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 5 ways as a sum of consecutive naturals, for example, 19805707 + ... + 19812106.

Almost surely, 2^126777001600 is an apocalyptic number.

126777001600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126777001600 is an abundant number, since it is smaller than the sum of its proper divisors (186401818070).

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

126777001600 is an equidigital number, since it uses as much as digits as its factorization.

126777001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39617837 (or 39617820 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 37.

The spelling of 126777001600 in words is "one hundred twenty-six billion, seven hundred seventy-seven million, one thousand, six hundred".