1531136566960 has 1920 divisors, whose sum is σ = 5466178142208. Its totient is φ = 390168576000.

The previous prime is 1531136566913. The next prime is 1531136566969. The reversal of 1531136566960 is 696656311351.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 1531136566898 and 1531136566907.

It is not an unprimeable number, because it can be changed into a prime (1531136566969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20974473484 + ... + 20974473556.

Almost surely, 2^{1531136566960} is an apocalyptic number.

1531136566960 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 1531136566960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733089071104).

1531136566960 is an abundant number, since it is smaller than the sum of its proper divisors (3935041575248).

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

1531136566960 is a wasteful number, since it uses less digits than its factorization.

1531136566960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 52.

The spelling of 1531136566960 in words is "one trillion, five hundred thirty-one billion, one hundred thirty-six million, five hundred sixty-six thousand, nine hundred sixty".