13016868480 has 768 divisors, whose sum is σ = 58169180160. Its totient is φ = 2702315520.

The previous prime is 13016868467. The next prime is 13016868497. The reversal of 13016868480 is 8486861031.

It is a happy number.

13016868480 is a `hidden beast` number, since 1 + 3 + 0 + 168 + 6 + 8 + 480 = 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, 11974497 + ... + 11975583.

It is an arithmetic number, because the mean of its divisors is an integer number (75741120).

Almost surely, 2^13016868480 is an apocalyptic number.

13016868480 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 13016868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29084590080).

13016868480 is an abundant number, since it is smaller than the sum of its proper divisors (45152311680).

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

13016868480 is a wasteful number, since it uses less digits than its factorization.

13016868480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 13016868480 in words is "thirteen billion, sixteen million, eight hundred sixty-eight thousand, four hundred eighty".