126668607520 has 288 divisors, whose sum is σ = 391266263808. Its totient is φ = 37729124352.

The previous prime is 126668607491. The next prime is 126668607587. The reversal of 126668607520 is 25706866621.

It is a happy number.

It is a super-2 number, since 2×126668607520² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4192789 + ... + 4222891.

It is an arithmetic number, because the mean of its divisors is an integer number (1358563416).

Almost surely, 2^126668607520 is an apocalyptic number.

126668607520 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 126668607520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195633131904).

126668607520 is an abundant number, since it is smaller than the sum of its proper divisors (264597656288).

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

126668607520 is a wasteful number, since it uses less digits than its factorization.

126668607520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30172 (or 30147 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 126668607520 in words is "one hundred twenty-six billion, six hundred sixty-eight million, six hundred seven thousand, five hundred twenty".