126527651280 has 120 divisors (see below), whose sum is σ = 424988889000. Its totient is φ = 33735398400.

The previous prime is 126527651209. The next prime is 126527651291. The reversal of 126527651280 is 82156725621.

126527651280 is a `hidden beast` number, since 1 + 2 + 6 + 52 + 7 + 6 + 512 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14348206656 + 112179444624 = 119784^2 + 334932^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7119846 + ... + 7137594.

It is an arithmetic number, because the mean of its divisors is an integer number (3541574075).

Almost surely, 2^126527651280 is an apocalyptic number.

126527651280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126527651280 is an abundant number, since it is smaller than the sum of its proper divisors (298461237720).

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

126527651280 is a wasteful number, since it uses less digits than its factorization.

126527651280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27669 (or 27660 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 126527651280 in words is "one hundred twenty-six billion, five hundred twenty-seven million, six hundred fifty-one thousand, two hundred eighty".