126610735680 has 1344 divisors, whose sum is σ = 541919379456. Its totient is φ = 26707968000.

The previous prime is 126610735679. The next prime is 126610735717. The reversal of 126610735680 is 86537016621.

126610735680 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 10 + 73 + 568 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 600050775 + ... + 600050985.

It is an arithmetic number, because the mean of its divisors is an integer number (403213824).

Almost surely, 2^126610735680 is an apocalyptic number.

126610735680 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 126610735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270959689728).

126610735680 is an abundant number, since it is smaller than the sum of its proper divisors (415308643776).

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

126610735680 is a wasteful number, since it uses less digits than its factorization.

126610735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 126610735680 in words is "one hundred twenty-six billion, six hundred ten million, seven hundred thirty-five thousand, six hundred eighty".