126575602560 has 960 divisors, whose sum is σ = 526523049360. Its totient is φ = 28855664640.

The previous prime is 126575602537. The next prime is 126575602589. The reversal of 126575602560 is 65206575621.

126575602560 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 7 + 560 + 25 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 106634287 + ... + 106635473.

Almost surely, 2^126575602560 is an apocalyptic number.

126575602560 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 126575602560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263261524680).

126575602560 is an abundant number, since it is smaller than the sum of its proper divisors (399947446800).

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

126575602560 is a wasteful number, since it uses less digits than its factorization.

126575602560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 126575602560 in words is "one hundred twenty-six billion, five hundred seventy-five million, six hundred two thousand, five hundred sixty".