126966271703040 has 2688 divisors, whose sum is σ = 575365796328960. Its totient is φ = 26121388032000.

The previous prime is 126966271703003. The next prime is 126966271703053. The reversal of 126966271703040 is 40307172669621.

126966271703040 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 6 + 627 + 1 + 7 + 0 + 3 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×126966271703040² (a number of 29 digits) contains 22 as substring.

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 223 ways as a sum of consecutive naturals, for example, 1257091798990 + ... + 1257091799090.

It is an arithmetic number, because the mean of its divisors is an integer number (214049775420).

Almost surely, 2^{126966271703040} is an apocalyptic number.

126966271703040 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 126966271703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287682898164480).

126966271703040 is an abundant number, since it is smaller than the sum of its proper divisors (448399524625920).

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

126966271703040 is an frugal number, since it uses more digits than its factorization.

126966271703040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 126966271703040 in words is "one hundred twenty-six trillion, nine hundred sixty-six billion, two hundred seventy-one million, seven hundred three thousand, forty".