13154192999640 has 3456 divisors, whose sum is σ = 60399585792000. Its totient is φ = 2560742553600.

The previous prime is 13154192999639. The next prime is 13154192999663. The reversal of 13154192999640 is 4699929145131.

13154192999640 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 419 + 2 + 99 + 96 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 66101472261 + ... + 66101472459.

It is an arithmetic number, because the mean of its divisors is an integer number (17476732000).

Almost surely, 2^{13154192999640} is an apocalyptic number.

13154192999640 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 13154192999640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30199792896000).

13154192999640 is an abundant number, since it is smaller than the sum of its proper divisors (47245392792360).

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

13154192999640 is a wasteful number, since it uses less digits than its factorization.

13154192999640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 63.

The spelling of 13154192999640 in words is "thirteen trillion, one hundred fifty-four billion, one hundred ninety-two million, nine hundred ninety-nine thousand, six hundred forty".