126537079680 has 768 divisors, whose sum is σ = 513624084480. Its totient is φ = 28385280000.

The previous prime is 126537079679. The next prime is 126537079699. The reversal of 126537079680 is 86970735621.

126537079680 is a `hidden beast` number, since 1 + 26 + 537 + 0 + 7 + 9 + 6 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45174280 + ... + 45177080.

It is an arithmetic number, because the mean of its divisors is an integer number (668781360).

Almost surely, 2^126537079680 is an apocalyptic number.

126537079680 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 126537079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256812042240).

126537079680 is an abundant number, since it is smaller than the sum of its proper divisors (387087004800).

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

126537079680 is a wasteful number, since it uses less digits than its factorization.

126537079680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2891 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 126537079680 in words is "one hundred twenty-six billion, five hundred thirty-seven million, seventy-nine thousand, six hundred eighty".