13492059416640 has 2688 divisors, whose sum is σ = 61244024832000. Its totient is φ = 2774878912512.

The previous prime is 13492059416579. The next prime is 13492059416677. The reversal of 13492059416640 is 4661495029431.

13492059416640 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 2 + 0 + 594 + 1 + 6 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 26506992706 + ... + 26506993214.

Almost surely, 2^{13492059416640} is an apocalyptic number.

13492059416640 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 13492059416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30622012416000).

13492059416640 is an abundant number, since it is smaller than the sum of its proper divisors (47751965415360).

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

13492059416640 is a wasteful number, since it uses less digits than its factorization.

13492059416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 13492059416640 in words is "thirteen trillion, four hundred ninety-two billion, fifty-nine million, four hundred sixteen thousand, six hundred forty".