126570270816 has 864 divisors, whose sum is σ = 447318746784. Its totient is φ = 35035545600.

The previous prime is 126570270809. The next prime is 126570270817. The reversal of 126570270816 is 618072075621.

126570270816 is a `hidden beast` number, since 1 + 2 + 6 + 570 + 2 + 70 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126570270817) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 655804416 + ... + 655804608.

It is an arithmetic number, because the mean of its divisors is an integer number (517730031).

Almost surely, 2^126570270816 is an apocalyptic number.

126570270816 is a gapful number since it is divisible by the number (16) 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 126570270816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223659373392).

126570270816 is an abundant number, since it is smaller than the sum of its proper divisors (320748475968).

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

126570270816 is a wasteful number, since it uses less digits than its factorization.

126570270816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

It can be divided in two parts, 126570 and 270816, that added together give a triangular number (397386 = T₈₉₁).

The spelling of 126570270816 in words is "one hundred twenty-six billion, five hundred seventy million, two hundred seventy thousand, eight hundred sixteen".