15557346140160 has 896 divisors, whose sum is σ = 57199433195520. Its totient is φ = 3573625651200.

The previous prime is 15557346140123. The next prime is 15557346140209. The reversal of 15557346140160 is 6104164375551.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3388659465 + ... + 3388664055.

It is an arithmetic number, because the mean of its divisors is an integer number (63838653120).

Almost surely, 2^{15557346140160} is an apocalyptic number.

15557346140160 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 15557346140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28599716597760).

15557346140160 is an abundant number, since it is smaller than the sum of its proper divisors (41642087055360).

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

15557346140160 is a wasteful number, since it uses less digits than its factorization.

15557346140160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4768 (or 4744 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 48.

The spelling of 15557346140160 in words is "fifteen trillion, five hundred fifty-seven billion, three hundred forty-six million, one hundred forty thousand, one hundred sixty".