1540983081600 has 288 divisors, whose sum is σ = 5501143633440. Its totient is φ = 410737305600.

The previous prime is 1540983081581. The next prime is 1540983081697. The reversal of 1540983081600 is 61803890451.

1540983081600 is a `hidden beast` number, since 1 + 5 + 4 + 0 + 9 + 8 + 30 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 68273517 + ... + 68296083.

Almost surely, 2^{1540983081600} is an apocalyptic number.

1540983081600 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 1540983081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750571816720).

1540983081600 is an abundant number, since it is smaller than the sum of its proper divisors (3960160551840).

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

1540983081600 is a wasteful number, since it uses less digits than its factorization.

1540983081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24968 (or 24948 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1540983081600 in words is "one trillion, five hundred forty billion, nine hundred eighty-three million, eighty-one thousand, six hundred".