126284870880 has 960 divisors, whose sum is σ = 550085437440. Its totient is φ = 26645262336.

The previous prime is 126284870861. The next prime is 126284870917. The reversal of 126284870880 is 88078482621.

126284870880 is a `hidden beast` number, since 1 + 2 + 628 + 4 + 8 + 7 + 0 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×126284870880² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 60509197 + ... + 60511283.

It is an arithmetic number, because the mean of its divisors is an integer number (573005664).

Almost surely, 2^126284870880 is an apocalyptic number.

126284870880 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 126284870880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275042718720).

126284870880 is an abundant number, since it is smaller than the sum of its proper divisors (423800566560).

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

126284870880 is a wasteful number, since it uses less digits than its factorization.

126284870880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 126284870880 in words is "one hundred twenty-six billion, two hundred eighty-four million, eight hundred seventy thousand, eight hundred eighty".