126949569761280 has 1664 divisors, whose sum is σ = 492017354956800. Its totient is φ = 27322535116800.

The previous prime is 126949569761279. The next prime is 126949569761293. The reversal of 126949569761280 is 82167965949621.

It is a super-2 number, since 2×126949569761280² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 282738462496 + ... + 282738462944.

Almost surely, 2^{126949569761280} is an apocalyptic number.

126949569761280 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 126949569761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246008677478400).

126949569761280 is an abundant number, since it is smaller than the sum of its proper divisors (365067785195520).

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

126949569761280 is a wasteful number, since it uses less digits than its factorization.

126949569761280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 75.

The spelling of 126949569761280 in words is "one hundred twenty-six trillion, nine hundred forty-nine billion, five hundred sixty-nine million, seven hundred sixty-one thousand, two hundred eighty".