126410634560 has 168 divisors, whose sum is σ = 365446080384. Its totient is φ = 40791121920.

The previous prime is 126410634527. The next prime is 126410634587. The reversal of 126410634560 is 65436014621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 549725 + ... + 744995.

It is an arithmetic number, because the mean of its divisors is an integer number (2175274288).

Almost surely, 2^126410634560 is an apocalyptic number.

126410634560 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 126410634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182723040192).

126410634560 is an abundant number, since it is smaller than the sum of its proper divisors (239035445824).

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

126410634560 is a wasteful number, since it uses less digits than its factorization.

126410634560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195329 (or 195302 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 126410634560 in words is "one hundred twenty-six billion, four hundred ten million, six hundred thirty-four thousand, five hundred sixty".