13048653960 has 384 divisors, whose sum is σ = 47066572800. Its totient is φ = 3204403200.

The previous prime is 13048653931. The next prime is 13048654027. The reversal of 13048653960 is 6935684031.

13048653960 is a `hidden beast` number, since 1 + 30 + 4 + 86 + 539 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 68317465 + ... + 68317655.

It is an arithmetic number, because the mean of its divisors is an integer number (122569200).

Almost surely, 2^13048653960 is an apocalyptic number.

13048653960 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 13048653960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23533286400).

13048653960 is an abundant number, since it is smaller than the sum of its proper divisors (34017918840).

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

13048653960 is a wasteful number, since it uses less digits than its factorization.

13048653960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 13048653960 in words is "thirteen billion, forty-eight million, six hundred fifty-three thousand, nine hundred sixty".