126106975189650 has 384 divisors, whose sum is σ = 398537691955200. Its totient is φ = 25667284608000.

The previous prime is 126106975189619. The next prime is 126106975189661. The reversal of 126106975189650 is 56981579601621.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 455484961 + ... + 455761739.

It is an arithmetic number, because the mean of its divisors is an integer number (1037858572800).

Almost surely, 2^{126106975189650} is an apocalyptic number.

126106975189650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126106975189650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199268845977600).

126106975189650 is an abundant number, since it is smaller than the sum of its proper divisors (272430716765550).

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

126106975189650 is a wasteful number, since it uses less digits than its factorization.

126106975189650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277994 (or 277989 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 66.

The spelling of 126106975189650 in words is "one hundred twenty-six trillion, one hundred six billion, nine hundred seventy-five million, one hundred eighty-nine thousand, six hundred fifty".