126522053280 has 576 divisors, whose sum is σ = 507722342400. Its totient is φ = 28677390336.

The previous prime is 126522053249. The next prime is 126522053323. The reversal of 126522053280 is 82350225621.

It is a happy number.

126522053280 is a `hidden beast` number, since 1 + 2 + 6 + 522 + 0 + 53 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62726832 + ... + 62728848.

It is an arithmetic number, because the mean of its divisors is an integer number (881462400).

Almost surely, 2^126522053280 is an apocalyptic number.

126522053280 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 126522053280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253861171200).

126522053280 is an abundant number, since it is smaller than the sum of its proper divisors (381200289120).

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

126522053280 is a wasteful number, since it uses less digits than its factorization.

126522053280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 126522053280 in words is "one hundred twenty-six billion, five hundred twenty-two million, fifty-three thousand, two hundred eighty".