126894975200032 has 48 divisors (see below), whose sum is σ = 280739217729600. Its totient is φ = 56020524164352.

The previous prime is 126894975200023. The next prime is 126894975200057. The reversal of 126894975200032 is 230002579498621.

It is a super-2 number, since 2×126894975200032² (a number of 29 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 126894975200032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6631207782 + ... + 6631226917.

It is an arithmetic number, because the mean of its divisors is an integer number (5848733702700).

It is a 1-persistent number, because it is pandigital, but 2⋅126894975200032 = 253789950400064 is not.

Almost surely, 2^{126894975200032} is an apocalyptic number.

It is an amenable number.

126894975200032 is an abundant number, since it is smaller than the sum of its proper divisors (153844242529568).

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

126894975200032 is a wasteful number, since it uses less digits than its factorization.

126894975200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13262434745 (or 13262434737 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 126894975200032 in words is "one hundred twenty-six trillion, eight hundred ninety-four billion, nine hundred seventy-five million, two hundred thousand, thirty-two".