126771707520 has 192 divisors, whose sum is σ = 451880432640. Its totient is φ = 32715233280.

The previous prime is 126771707519. The next prime is 126771707537. The reversal of 126771707520 is 25707177621.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176424 + ... + 533543.

It is an arithmetic number, because the mean of its divisors is an integer number (2353543920).

Almost surely, 2^126771707520 is an apocalyptic number.

126771707520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126771707520 is an abundant number, since it is smaller than the sum of its proper divisors (325108725120).

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

126771707520 is a wasteful number, since it uses less digits than its factorization.

126771707520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710023 (or 710008 counting only the distinct ones).

The product of its (nonzero) digits is 288120, while the sum is 45.

The spelling of 126771707520 in words is "one hundred twenty-six billion, seven hundred seventy-one million, seven hundred seven thousand, five hundred twenty".