126316523520 has 832 divisors, whose sum is σ = 516150950400. Its totient is φ = 28983951360.

The previous prime is 126316523491. The next prime is 126316523521. The reversal of 126316523520 is 25325613621.

126316523520 is a `hidden beast` number, since 1 + 26 + 31 + 65 + 23 + 520 = 666.

It is a super-2 number, since 2×126316523520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (126316523521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115568094 + ... + 115569186.

Almost surely, 2^126316523520 is an apocalyptic number.

126316523520 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 126316523520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258075475200).

126316523520 is an abundant number, since it is smaller than the sum of its proper divisors (389834426880).

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

126316523520 is a wasteful number, since it uses less digits than its factorization.

126316523520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 126316523520 in words is "one hundred twenty-six billion, three hundred sixteen million, five hundred twenty-three thousand, five hundred twenty".