126171083261520 has 2560 divisors, whose sum is σ = 525069936230400. Its totient is φ = 27521515929600.

The previous prime is 126171083261501. The next prime is 126171083261521. The reversal of 126171083261520 is 25162380171621.

126171083261520 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 7 + 1 + 0 + 8 + 3 + 2 + 615 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126171083261521) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 276085521132 + ... + 276085521588.

It is an arithmetic number, because the mean of its divisors is an integer number (205105443840).

Almost surely, 2^{126171083261520} is an apocalyptic number.

126171083261520 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 126171083261520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262534968115200).

126171083261520 is an abundant number, since it is smaller than the sum of its proper divisors (398898852968880).

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

126171083261520 is a wasteful number, since it uses less digits than its factorization.

126171083261520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 126171083261520 in words is "one hundred twenty-six trillion, one hundred seventy-one billion, eighty-three million, two hundred sixty-one thousand, five hundred twenty".