1531113788160 has 1620 divisors, whose sum is σ = 6271456004352. Its totient is φ = 356377190400.

The previous prime is 1531113788137. The next prime is 1531113788177. The reversal of 1531113788160 is 618873111351.

1531113788160 is a `hidden beast` number, since 1 + 5 + 3 + 111 + 378 + 8 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

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 179 ways as a sum of consecutive naturals, for example, 12056014017 + ... + 12056014143.

Almost surely, 2^{1531113788160} is an apocalyptic number.

1531113788160 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 1531113788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135728002176).

1531113788160 is an abundant number, since it is smaller than the sum of its proper divisors (4740342216192).

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

1531113788160 is a wasteful number, since it uses less digits than its factorization.

1531113788160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 1531113788160 in words is "one trillion, five hundred thirty-one billion, one hundred thirteen million, seven hundred eighty-eight thousand, one hundred sixty".