13585046207040 has 3360 divisors, whose sum is σ = 66367808027136. Its totient is φ = 2598151127040.

The previous prime is 13585046207039. The next prime is 13585046207071. The reversal of 13585046207040 is 4070264058531.

13585046207040 is a `hidden beast` number, since 1 + 3 + 5 + 85 + 0 + 462 + 0 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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 479 ways as a sum of consecutive naturals, for example, 11162732512 + ... + 11162733728.

Almost surely, 2^{13585046207040} is an apocalyptic number.

13585046207040 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 13585046207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33183904013568).

13585046207040 is an abundant number, since it is smaller than the sum of its proper divisors (52782761820096).

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

13585046207040 is a wasteful number, since it uses less digits than its factorization.

13585046207040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 13585046207040 in words is "thirteen trillion, five hundred eighty-five billion, forty-six million, two hundred seven thousand, forty".