11506870098 has 128 divisors (see below), whose sum is σ = 27894374400. Its totient is φ = 3502699200.

The previous prime is 11506870069. The next prime is 11506870099. The reversal of 11506870098 is 89007860511.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11506870099) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10527240 + ... + 10528332.

It is an arithmetic number, because the mean of its divisors is an integer number (217924800).

Almost surely, 2^11506870098 is an apocalyptic number.

11506870098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11506870098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13947187200).

11506870098 is an abundant number, since it is smaller than the sum of its proper divisors (16387504302).

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

11506870098 is a wasteful number, since it uses less digits than its factorization.

11506870098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 11506870098 in words is "eleven billion, five hundred six million, eight hundred seventy thousand, ninety-eight".