10879735781376 has 2688 divisors, whose sum is σ = 45477348134400. Its totient is φ = 2511093104640.

The previous prime is 10879735781323. The next prime is 10879735781381. The reversal of 10879735781376 is 67318753797801.

10879735781376 is a `hidden beast` number, since 1 + 0 + 87 + 97 + 357 + 81 + 37 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 37132203886 + ... + 37132204178.

It is an arithmetic number, because the mean of its divisors is an integer number (16918656300).

Almost surely, 2^{10879735781376} is an apocalyptic number.

10879735781376 is a gapful number since it is divisible by the number (16) 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 10879735781376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22738674067200).

10879735781376 is an abundant number, since it is smaller than the sum of its proper divisors (34597612353024).

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

10879735781376 is a wasteful number, since it uses less digits than its factorization.

10879735781376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 373403520, while the sum is 72.

The spelling of 10879735781376 in words is "ten trillion, eight hundred seventy-nine billion, seven hundred thirty-five million, seven hundred eighty-one thousand, three hundred seventy-six".