15435400140160 has 1536 divisors, whose sum is σ = 52874727229440. Its totient is φ = 4175069184000.

The previous prime is 15435400140113. The next prime is 15435400140253. The reversal of 15435400140160 is 6104100453451.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11684632300 + ... + 11684633620.

It is an arithmetic number, because the mean of its divisors is an integer number (34423650540).

Almost surely, 2^{15435400140160} is an apocalyptic number.

15435400140160 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 15435400140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26437363614720).

15435400140160 is an abundant number, since it is smaller than the sum of its proper divisors (37439327089280).

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

15435400140160 is a wasteful number, since it uses less digits than its factorization.

15435400140160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 15435400140160 in words is "fifteen trillion, four hundred thirty-five billion, four hundred million, one hundred forty thousand, one hundred sixty".