10872361194240 has 576 divisors, whose sum is σ = 43646101180416. Its totient is φ = 2245137924096.

The previous prime is 10872361194223. The next prime is 10872361194269. The reversal of 10872361194240 is 4249116327801.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10872361194240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16092684 + ... + 16754676.

It is an arithmetic number, because the mean of its divisors is an integer number (75774481216).

Almost surely, 2^{10872361194240} is an apocalyptic number.

10872361194240 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 10872361194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21823050590208).

10872361194240 is an abundant number, since it is smaller than the sum of its proper divisors (32773739986176).

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

10872361194240 is a wasteful number, since it uses less digits than its factorization.

10872361194240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662084 (or 662070 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 10872361194240 in words is "ten trillion, eight hundred seventy-two billion, three hundred sixty-one million, one hundred ninety-four thousand, two hundred forty".