126548275979340 has 1152 divisors, whose sum is σ = 434813615308800. Its totient is φ = 30513493463040.

The previous prime is 126548275979291. The next prime is 126548275979347. The reversal of 126548275979340 is 43979572845621.

126548275979340 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 4 + 8 + 27 + 597 + 9 + 3 + 4 + 0 = 666.

It is a super-2 number, since 2×126548275979340² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (126548275979347) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 251587029529 + ... + 251587030031.

It is an arithmetic number, because the mean of its divisors is an integer number (377442374400).

It is a 1-persistent number, because it is pandigital, but 2⋅126548275979340 = 253096551958680 is not.

Almost surely, 2^{126548275979340} is an apocalyptic number.

126548275979340 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 126548275979340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217406807654400).

126548275979340 is an abundant number, since it is smaller than the sum of its proper divisors (308265339329460).

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

126548275979340 is a wasteful number, since it uses less digits than its factorization.

126548275979340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 126548275979340 in words is "one hundred twenty-six trillion, five hundred forty-eight billion, two hundred seventy-five million, nine hundred seventy-nine thousand, three hundred forty".