126577416420 has 864 divisors, whose sum is σ = 506649306240. Its totient is φ = 26002529280.

The previous prime is 126577416349. The next prime is 126577416431. The reversal of 126577416420 is 24614775621.

126577416420 is a `hidden beast` number, since 1 + 26 + 577 + 4 + 16 + 42 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 966239755 + ... + 966239885.

It is an arithmetic number, because the mean of its divisors is an integer number (586399660).

Almost surely, 2^126577416420 is an apocalyptic number.

126577416420 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 126577416420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253324653120).

126577416420 is an abundant number, since it is smaller than the sum of its proper divisors (380071889820).

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

126577416420 is a wasteful number, since it uses less digits than its factorization.

126577416420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 126577416420 in words is "one hundred twenty-six billion, five hundred seventy-seven million, four hundred sixteen thousand, four hundred twenty".