126772963995600 has 960 divisors, whose sum is σ = 488086390471680. Its totient is φ = 31067235072000.

The previous prime is 126772963995589. The next prime is 126772963995679. The reversal of 126772963995600 is 6599369277621.

126772963995600 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 7 + 2 + 9 + 6 + 3 + 9 + 9 + 5 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62542161787 + ... + 62542163813.

It is an arithmetic number, because the mean of its divisors is an integer number (508423323408).

Almost surely, 2^{126772963995600} is an apocalyptic number.

126772963995600 is a gapful number since it is divisible by the number (10) 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 126772963995600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244043195235840).

126772963995600 is an abundant number, since it is smaller than the sum of its proper divisors (361313426476080).

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

126772963995600 is a wasteful number, since it uses less digits than its factorization.

126772963995600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3825 (or 3808 counting only the distinct ones).

The product of its (nonzero) digits is 462944160, while the sum is 72.

The spelling of 126772963995600 in words is "one hundred twenty-six trillion, seven hundred seventy-two billion, nine hundred sixty-three million, nine hundred ninety-five thousand, six hundred".