10879753859040 has 1536 divisors, whose sum is σ = 44203730780160. Its totient is φ = 2212105420800.

The previous prime is 10879753859033. The next prime is 10879753859069. The reversal of 10879753859040 is 4095835797801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2392730047 + ... + 2392734593.

It is an arithmetic number, because the mean of its divisors is an integer number (28778470560).

Almost surely, 2^{10879753859040} is an apocalyptic number.

10879753859040 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 10879753859040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22101865390080).

10879753859040 is an abundant number, since it is smaller than the sum of its proper divisors (33323976921120).

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

10879753859040 is a wasteful number, since it uses less digits than its factorization.

10879753859040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4696 (or 4688 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 66.

The spelling of 10879753859040 in words is "ten trillion, eight hundred seventy-nine billion, seven hundred fifty-three million, eight hundred fifty-nine thousand, forty".