126085205664 has 192 divisors, whose sum is σ = 422295552000. Its totient is φ = 36196657920.

The previous prime is 126085205639. The next prime is 126085205671. The reversal of 126085205664 is 466502580621.

126085205664 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 85 + 2 + 0 + 566 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168544 + ... + 529695.

It is an arithmetic number, because the mean of its divisors is an integer number (2199456000).

Almost surely, 2^126085205664 is an apocalyptic number.

It is an amenable number.

126085205664 is an abundant number, since it is smaller than the sum of its proper divisors (296210346336).

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

126085205664 is a wasteful number, since it uses less digits than its factorization.

126085205664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698288 (or 698274 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 126085205664 in words is "one hundred twenty-six billion, eighty-five million, two hundred five thousand, six hundred sixty-four".