1011898800 has 540 divisors, whose sum is σ = 4067520912. Its totient is φ = 232320000.

The previous prime is 1011898799. The next prime is 1011898813. The reversal of 1011898800 is 88981101.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 10018750 + ... + 10018850.

Almost surely, 2^1011898800 is an apocalyptic number.

1011898800 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 1011898800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033760456).

1011898800 is an abundant number, since it is smaller than the sum of its proper divisors (3055622112).

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

1011898800 is a wasteful number, since it uses less digits than its factorization.

1011898800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 36.

The square root of 1011898800 is about 31810.3568040348. The cubic root of 1011898800 is about 1003.9506385683.

It can be divided in two parts, 1011 and 898800, that added together give a triangular number (899811 = T₁₃₄₁).

The spelling of 1011898800 in words is "one billion, eleven million, eight hundred ninety-eight thousand, eight hundred".