1018861958800 has 360 divisors, whose sum is σ = 3112245089280. Its totient is φ = 318166732800.

The previous prime is 1018861958791. The next prime is 1018861958809. The reversal of 1018861958800 is 88591688101.

It is an interprime number because it is at equal distance from previous prime (1018861958791) and next prime (1018861958809).

It is not an unprimeable number, because it can be changed into a prime (1018861958809) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10279881 + ... + 10378519.

It is an arithmetic number, because the mean of its divisors is an integer number (8645125248).

Almost surely, 2^{1018861958800} is an apocalyptic number.

1018861958800 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 1018861958800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556122544640).

1018861958800 is an abundant number, since it is smaller than the sum of its proper divisors (2093383130480).

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

1018861958800 is a wasteful number, since it uses less digits than its factorization.

1018861958800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98719 (or 98701 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 55.

The spelling of 1018861958800 in words is "one trillion, eighteen billion, eight hundred sixty-one million, nine hundred fifty-eight thousand, eight hundred".