126895693392 has 160 divisors (see below), whose sum is σ = 401823864960. Its totient is φ = 38092446720.

The previous prime is 126895693387. The next prime is 126895693423. The reversal of 126895693392 is 293396598621.

126895693392 is a `hidden beast` number, since 1 + 2 + 68 + 9 + 569 + 3 + 3 + 9 + 2 = 666.

It is a super-2 number, since 2×126895693392² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45298 + ... + 505809.

It is an arithmetic number, because the mean of its divisors is an integer number (2511399156).

Almost surely, 2^126895693392 is an apocalyptic number.

126895693392 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 126895693392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200911932480).

126895693392 is an abundant number, since it is smaller than the sum of its proper divisors (274928171568).

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

126895693392 is a wasteful number, since it uses less digits than its factorization.

126895693392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551178 (or 551166 counting only the distinct ones).

The product of its digits is 37791360, while the sum is 63.

The spelling of 126895693392 in words is "one hundred twenty-six billion, eight hundred ninety-five million, six hundred ninety-three thousand, three hundred ninety-two".