1981154073600 has 1056 divisors, whose sum is σ = 7919250843840. Its totient is φ = 482428846080.

The previous prime is 1981154073539. The next prime is 1981154073601. The reversal of 1981154073600 is 63704511891.

1981154073600 is a `hidden beast` number, since 1 + 98 + 11 + 540 + 7 + 3 + 6 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1981154073601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 871602064 + ... + 871604336.

Almost surely, 2^{1981154073600} is an apocalyptic number.

1981154073600 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 1981154073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959625421920).

1981154073600 is an abundant number, since it is smaller than the sum of its proper divisors (5938096770240).

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

1981154073600 is a wasteful number, since it uses less digits than its factorization.

1981154073600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 1981154073600 in words is "one trillion, nine hundred eighty-one billion, one hundred fifty-four million, seventy-three thousand, six hundred".