1261734475672 has 128 divisors (see below), whose sum is σ = 2729554329600. Its totient is φ = 541374220800.

The previous prime is 1261734475669. The next prime is 1261734475699. The reversal of 1261734475672 is 2765744371621.

It is a congruent number.

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, 122457673 + ... + 122467975.

It is an arithmetic number, because the mean of its divisors is an integer number (21324643200).

Almost surely, 2^{1261734475672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1261734475672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364777164800).

1261734475672 is an abundant number, since it is smaller than the sum of its proper divisors (1467819853928).

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

1261734475672 is a wasteful number, since it uses less digits than its factorization.

1261734475672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11417 (or 11413 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 55.

The spelling of 1261734475672 in words is "one trillion, two hundred sixty-one billion, seven hundred thirty-four million, four hundred seventy-five thousand, six hundred seventy-two".