11175498880 has 256 divisors, whose sum is σ = 33040949760. Its totient is φ = 3519774720.

The previous prime is 11175498877. The next prime is 11175498883. The reversal of 11175498880 is 8889457111.

It is an interprime number because it is at equal distance from previous prime (11175498877) and next prime (11175498883).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (11175498883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18112332 + ... + 18112948.

It is an arithmetic number, because the mean of its divisors is an integer number (129066210).

Almost surely, 2^11175498880 is an apocalyptic number.

11175498880 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 11175498880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16520474880).

11175498880 is an abundant number, since it is smaller than the sum of its proper divisors (21865450880).

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

11175498880 is a wasteful number, since it uses less digits than its factorization.

11175498880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 52.

The spelling of 11175498880 in words is "eleven billion, one hundred seventy-five million, four hundred ninety-eight thousand, eight hundred eighty".