11098850040 has 352 divisors, whose sum is σ = 38773716480. Its totient is φ = 2857026816.

The previous prime is 11098850029. The next prime is 11098850089. The reversal of 11098850040 is 4005889011.

11098850040 is a `hidden beast` number, since 1 + 109 + 8 + 8 + 500 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11098849977 and 11098850004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 87392457 + ... + 87392583.

Almost surely, 2^11098850040 is an apocalyptic number.

11098850040 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 11098850040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19386858240).

11098850040 is an abundant number, since it is smaller than the sum of its proper divisors (27674866440).

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

11098850040 is an equidigital number, since it uses as much as digits as its factorization.

11098850040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

It can be divided in two parts, 110988 and 50040, that added together give a triangular number (161028 = T₅₆₇).

The spelling of 11098850040 in words is "eleven billion, ninety-eight million, eight hundred fifty thousand, forty".