1018222732800 has 2880 divisors, whose sum is σ = 4840526186496. Its totient is φ = 198534758400.

The previous prime is 1018222732799. The next prime is 1018222732819. The reversal of 1018222732800 is 82372228101.

1018222732800 is a `hidden beast` number, since 101 + 8 + 2 + 2 + 273 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9885657549 + ... + 9885657651.

Almost surely, 2^{1018222732800} is an apocalyptic number.

1018222732800 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 1018222732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420263093248).

1018222732800 is an abundant number, since it is smaller than the sum of its proper divisors (3822303453696).

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

1018222732800 is a wasteful number, since it uses less digits than its factorization.

1018222732800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 1018222732800 in words is "one trillion, eighteen billion, two hundred twenty-two million, seven hundred thirty-two thousand, eight hundred".