126356064563160 has 160 divisors (see below), whose sum is σ = 424970258106240. Its totient is φ = 33673252525056.

The previous prime is 126356064563021. The next prime is 126356064563161. The reversal of 126356064563160 is 61365460653621.

126356064563160 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 5 + 6 + 0 + 64 + 563 + 16 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 126356064563097 and 126356064563106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126356064563161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7524232 + ... + 17587671.

It is an arithmetic number, because the mean of its divisors is an integer number (2656064113164).

Almost surely, 2^{126356064563160} is an apocalyptic number.

126356064563160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126356064563160 is an abundant number, since it is smaller than the sum of its proper divisors (298614193543080).

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

126356064563160 is a wasteful number, since it uses less digits than its factorization.

126356064563160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25113479 (or 25113466 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 126356064563160 in words is "one hundred twenty-six trillion, three hundred fifty-six billion, sixty-four million, five hundred sixty-three thousand, one hundred sixty".