126621927677952 has 672 divisors, whose sum is σ = 440696337629184. Its totient is φ = 34265559859200.

The previous prime is 126621927677911. The next prime is 126621927677953. The reversal of 126621927677952 is 259776729126621.

126621927677952 is a `hidden beast` number, since 1 + 26 + 6 + 219 + 276 + 7 + 79 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×126621927677952² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (126621927677953) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 751867677 + ... + 752036067.

It is an arithmetic number, because the mean of its divisors is an integer number (655798121472).

Almost surely, 2^{126621927677952} is an apocalyptic number.

126621927677952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126621927677952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220348168814592).

126621927677952 is an abundant number, since it is smaller than the sum of its proper divisors (314074409951232).

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

126621927677952 is a wasteful number, since it uses less digits than its factorization.

126621927677952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168508 (or 168481 counting only the distinct ones).

The product of its digits is 480090240, while the sum is 72.

The spelling of 126621927677952 in words is "one hundred twenty-six trillion, six hundred twenty-one billion, nine hundred twenty-seven million, six hundred seventy-seven thousand, nine hundred fifty-two".