126867364041600 has 5760 divisors, whose sum is σ = 634630660725600. Its totient is φ = 24650850631680.

The previous prime is 126867364041577. The next prime is 126867364041611. The reversal of 126867364041600 is 6140463768621.

126867364041600 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 6 + 73 + 6 + 404 + 160 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 116072610654 + ... + 116072611746.

Almost surely, 2^{126867364041600} is an apocalyptic number.

126867364041600 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 126867364041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317315330362800).

126867364041600 is an abundant number, since it is smaller than the sum of its proper divisors (507763296684000).

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

126867364041600 is a wasteful number, since it uses less digits than its factorization.

126867364041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 126867364041600 in words is "one hundred twenty-six trillion, eight hundred sixty-seven billion, three hundred sixty-four million, forty-one thousand, six hundred".