126285778080 has 1536 divisors, whose sum is σ = 576079257600. Its totient is φ = 25395793920.

The previous prime is 126285778079. The next prime is 126285778093. The reversal of 126285778080 is 80877582621.

126285778080 is a `hidden beast` number, since 1 + 2 + 62 + 8 + 577 + 8 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1158585066 + ... + 1158585174.

It is an arithmetic number, because the mean of its divisors is an integer number (375051600).

Almost surely, 2^126285778080 is an apocalyptic number.

126285778080 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 126285778080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288039628800).

126285778080 is an abundant number, since it is smaller than the sum of its proper divisors (449793479520).

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

126285778080 is a wasteful number, since it uses less digits than its factorization.

126285778080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 126285778080 in words is "one hundred twenty-six billion, two hundred eighty-five million, seven hundred seventy-eight thousand, eighty".