1011146880 has 128 divisors (see below), whose sum is σ = 3254958720. Its totient is φ = 266969088.

The previous prime is 1011146869. The next prime is 1011146891. The reversal of 1011146880 is 886411101.

It is an interprime number because it is at equal distance from previous prime (1011146869) and next prime (1011146891).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195204 + ... + 200316.

It is an arithmetic number, because the mean of its divisors is an integer number (25429365).

Almost surely, 2^1011146880 is an apocalyptic number.

1011146880 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 1011146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627479360).

1011146880 is an abundant number, since it is smaller than the sum of its proper divisors (2243811840).

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

1011146880 is a wasteful number, since it uses less digits than its factorization.

1011146880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5238 (or 5226 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 30.

The square root of 1011146880 is about 31798.5358153485. The cubic root of 1011146880 is about 1003.7019056508.

Adding to 1011146880 its reverse (886411101), we get a palindrome (1897557981).

The spelling of 1011146880 in words is "one billion, eleven million, one hundred forty-six thousand, eight hundred eighty".