13505786280 has 384 divisors, whose sum is σ = 51217920000. Its totient is φ = 3022935552.

The previous prime is 13505786269. The next prime is 13505786291. The reversal of 13505786280 is 8268750531.

13505786280 is a `hidden beast` number, since 1 + 3 + 50 + 578 + 6 + 28 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13505786269) and next prime (13505786291).

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, 35635131 + ... + 35635509.

It is an arithmetic number, because the mean of its divisors is an integer number (133380000).

Almost surely, 2^13505786280 is an apocalyptic number.

13505786280 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 13505786280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25608960000).

13505786280 is an abundant number, since it is smaller than the sum of its proper divisors (37712133720).

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

13505786280 is a wasteful number, since it uses less digits than its factorization.

13505786280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 13505786280 in words is "thirteen billion, five hundred five million, seven hundred eighty-six thousand, two hundred eighty".