126766865502900 has 1440 divisors, whose sum is σ = 498979807248384. Its totient is φ = 27231240960000.

The previous prime is 126766865502863. The next prime is 126766865502941. The reversal of 126766865502900 is 9205568667621.

It is a happy number.

126766865502900 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 6 + 68 + 65 + 502 + 9 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 8361371320 + ... + 8361386480.

Almost surely, 2^{126766865502900} is an apocalyptic number.

126766865502900 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 126766865502900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249489903624192).

126766865502900 is an abundant number, since it is smaller than the sum of its proper divisors (372212941745484).

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

126766865502900 is a wasteful number, since it uses less digits than its factorization.

126766865502900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15363 (or 15347 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 126766865502900 in words is "one hundred twenty-six trillion, seven hundred sixty-six billion, eight hundred sixty-five million, five hundred two thousand, nine hundred".