13140293760 has 768 divisors, whose sum is σ = 52792197120. Its totient is φ = 2980454400.

The previous prime is 13140293741. The next prime is 13140293779. The reversal of 13140293760 is 6739204131.

13140293760 = T₃₈₄ + T₃₈₅ + ... + T₄₂₈₈.

It is an interprime number because it is at equal distance from previous prime (13140293741) and next prime (13140293779).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103466817 + ... + 103466943.

It is an arithmetic number, because the mean of its divisors is an integer number (68739840).

Almost surely, 2^13140293760 is an apocalyptic number.

13140293760 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 13140293760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26396098560).

13140293760 is an abundant number, since it is smaller than the sum of its proper divisors (39651903360).

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

13140293760 is a wasteful number, since it uses less digits than its factorization.

13140293760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Adding to 13140293760 its reverse (6739204131), we get a palindrome (19879497891).

The spelling of 13140293760 in words is "thirteen billion, one hundred forty million, two hundred ninety-three thousand, seven hundred sixty".