1563145128000 has 672 divisors, whose sum is σ = 5811946882560. Its totient is φ = 416460787200.

The previous prime is 1563145127963. The next prime is 1563145128029. The reversal of 1563145128000 is 8215413651.

1563145128000 is a `hidden beast` number, since 1 + 5 + 63 + 1 + 4 + 512 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1417175449 + ... + 1417176551.

It is an arithmetic number, because the mean of its divisors is an integer number (8648730480).

Almost surely, 2^{1563145128000} is an apocalyptic number.

1563145128000 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 1563145128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2905973441280).

1563145128000 is an abundant number, since it is smaller than the sum of its proper divisors (4248801754560).

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

1563145128000 is an frugal number, since it uses more digits than its factorization.

1563145128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 1563145128000 in words is "one trillion, five hundred sixty-three billion, one hundred forty-five million, one hundred twenty-eight thousand".