13510077640 has 64 divisors (see below), whose sum is σ = 31828204800. Its totient is φ = 5151328512.

The previous prime is 13510077629. The next prime is 13510077641. The reversal of 13510077640 is 4677001531.

It is a junction number, because it is equal to n+sod(n) for n = 13510077596 and 13510077605.

It is not an unprimeable number, because it can be changed into a prime (13510077641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244501 + ... + 294619.

It is an arithmetic number, because the mean of its divisors is an integer number (497315700).

Almost surely, 2^13510077640 is an apocalyptic number.

13510077640 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 13510077640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15914102400).

13510077640 is an abundant number, since it is smaller than the sum of its proper divisors (18318127160).

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

13510077640 is a wasteful number, since it uses less digits than its factorization.

13510077640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50446 (or 50442 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The spelling of 13510077640 in words is "thirteen billion, five hundred ten million, seventy-seven thousand, six hundred forty".