1531132968960 has 1632 divisors, whose sum is σ = 6540447094272. Its totient is φ = 336341237760.

The previous prime is 1531132968941. The next prime is 1531132968997. The reversal of 1531132968960 is 698692311351.

1531132968960 is a `hidden beast` number, since 1 + 531 + 1 + 3 + 29 + 6 + 89 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1531132968897 and 1531132968906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22852730847 + ... + 22852730913.

It is an arithmetic number, because the mean of its divisors is an integer number (4007626896).

Almost surely, 2^{1531132968960} is an apocalyptic number.

1531132968960 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 1531132968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3270223547136).

1531132968960 is an abundant number, since it is smaller than the sum of its proper divisors (5009314125312).

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

1531132968960 is an frugal number, since it uses more digits than its factorization.

1531132968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 1531132968960 in words is "one trillion, five hundred thirty-one billion, one hundred thirty-two million, nine hundred sixty-eight thousand, nine hundred sixty".