126892177920 has 960 divisors, whose sum is σ = 499829616000. Its totient is φ = 29659889664.

The previous prime is 126892177873. The next prime is 126892177927. The reversal of 126892177920 is 29771298621.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×126892177920² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (126892177927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2150714851 + ... + 2150714909.

It is an arithmetic number, because the mean of its divisors is an integer number (520655850).

Almost surely, 2^126892177920 is an apocalyptic number.

126892177920 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 126892177920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249914808000).

126892177920 is an abundant number, since it is smaller than the sum of its proper divisors (372937438080).

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

126892177920 is an equidigital number, since it uses as much as digits as its factorization.

126892177920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 126892177920 in words is "one hundred twenty-six billion, eight hundred ninety-two million, one hundred seventy-seven thousand, nine hundred twenty".