126958089852 has 192 divisors, whose sum is σ = 364500864000. Its totient is φ = 38210832000.

The previous prime is 126958089809. The next prime is 126958089871. The reversal of 126958089852 is 258980859621.

It is a super-2 number, since 2×126958089852² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 126958089852.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21703024 + ... + 21708872.

It is an arithmetic number, because the mean of its divisors is an integer number (1898442000).

Almost surely, 2^126958089852 is an apocalyptic number.

126958089852 is a gapful number since it is divisible by the number (12) 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 126958089852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182250432000).

126958089852 is an abundant number, since it is smaller than the sum of its proper divisors (237542774148).

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

126958089852 is a wasteful number, since it uses less digits than its factorization.

126958089852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6046 (or 6016 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 126958089852 in words is "one hundred twenty-six billion, nine hundred fifty-eight million, eighty-nine thousand, eight hundred fifty-two".