10607018268340 has 96 divisors (see below), whose sum is σ = 24049562471424. Its totient is φ = 3906422277120.

The previous prime is 10607018268289. The next prime is 10607018268373. The reversal of 10607018268340 is 4386281070601.

It is a happy number.

10607018268340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10607018268340² (a number of 27 digits) contains 22 as substring.

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, 352999197 + ... + 353029243.

It is an arithmetic number, because the mean of its divisors is an integer number (250516275744).

Almost surely, 2^{10607018268340} is an apocalyptic number.

10607018268340 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 10607018268340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12024781235712).

10607018268340 is an abundant number, since it is smaller than the sum of its proper divisors (13442544203084).

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

10607018268340 is a wasteful number, since it uses less digits than its factorization.

10607018268340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33497 (or 33495 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 10607018268340 in words is "ten trillion, six hundred seven billion, eighteen million, two hundred sixty-eight thousand, three hundred forty".