10737340701000 has 128 divisors (see below), whose sum is σ = 33568736722560. Its totient is φ = 2857458912000.

The previous prime is 10737340700923. The next prime is 10737340701023. The reversal of 10737340701000 is 10704373701.

10737340701000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2171719 + ... + 5117718.

It is an arithmetic number, because the mean of its divisors is an integer number (262255755645).

Almost surely, 2^{10737340701000} is an apocalyptic number.

10737340701000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10737340701000 is an abundant number, since it is smaller than the sum of its proper divisors (22831396021560).

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

10737340701000 is a wasteful number, since it uses less digits than its factorization.

10737340701000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7289952 (or 7289938 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 33.

The spelling of 10737340701000 in words is "ten trillion, seven hundred thirty-seven billion, three hundred forty million, seven hundred one thousand".