1018368025920 has 336 divisors, whose sum is σ = 4111352638848. Its totient is φ = 226478592000.

The previous prime is 1018368025903. The next prime is 1018368025933. The reversal of 1018368025920 is 295208638101.

1018368025920 is a `hidden beast` number, since 1 + 0 + 18 + 368 + 0 + 259 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63295 + ... + 1428545.

It is an arithmetic number, because the mean of its divisors is an integer number (12236168568).

Almost surely, 2^{1018368025920} is an apocalyptic number.

1018368025920 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 1018368025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055676319424).

1018368025920 is an abundant number, since it is smaller than the sum of its proper divisors (3092984612928).

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

1018368025920 is a wasteful number, since it uses less digits than its factorization.

1018368025920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365318 (or 1365305 counting only the distinct ones).

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

The spelling of 1018368025920 in words is "one trillion, eighteen billion, three hundred sixty-eight million, twenty-five thousand, nine hundred twenty".