10879349890248 has 320 divisors, whose sum is σ = 35195833221120. Its totient is φ = 3075380784000.

The previous prime is 10879349890207. The next prime is 10879349890289. The reversal of 10879349890248 is 84209894397801.

10879349890248 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 9 + 3 + 498 + 90 + 2 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (10879349890207) and next prime (10879349890289).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 537746293 + ... + 537766523.

It is an arithmetic number, because the mean of its divisors is an integer number (109986978816).

Almost surely, 2^{10879349890248} is an apocalyptic number.

10879349890248 is a gapful number since it is divisible by the number (18) 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 10879349890248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17597916610560).

10879349890248 is an abundant number, since it is smaller than the sum of its proper divisors (24316483330872).

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

10879349890248 is a wasteful number, since it uses less digits than its factorization.

10879349890248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21510 (or 21497 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

It can be divided in two parts, 108793 and 49890248, that added together give a square (49999041 = 7071²).

The spelling of 10879349890248 in words is "ten trillion, eight hundred seventy-nine billion, three hundred forty-nine million, eight hundred ninety thousand, two hundred forty-eight".