1531173728160 has 240 divisors, whose sum is σ = 5433630674472. Its totient is φ = 406056499200.

The previous prime is 1531173728159. The next prime is 1531173728311. The reversal of 1531173728160 is 618273711351.

1531173728160 is a `hidden beast` number, since 1 + 5 + 3 + 117 + 372 + 8 + 160 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 444467555856 + 1086706172304 = 666684^2 + 1042452^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 39 ways as a sum of consecutive naturals, for example, 2019390 + ... + 2672130.

Almost surely, 2^{1531173728160} is an apocalyptic number.

1531173728160 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 1531173728160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2716815337236).

1531173728160 is an abundant number, since it is smaller than the sum of its proper divisors (3902456946312).

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

1531173728160 is a wasteful number, since it uses less digits than its factorization.

1531173728160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652949 (or 652932 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 1531173728160 in words is "one trillion, five hundred thirty-one billion, one hundred seventy-three million, seven hundred twenty-eight thousand, one hundred sixty".