10877858095104 has 2688 divisors, whose sum is σ = 45011261288448. Its totient is φ = 2534025461760.

The previous prime is 10877858095067. The next prime is 10877858095171. The reversal of 10877858095104 is 40159085877801.

10877858095104 is a `hidden beast` number, since 108 + 7 + 7 + 8 + 5 + 8 + 0 + 9 + 510 + 4 = 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 (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 105610272717 + ... + 105610272819.

It is an arithmetic number, because the mean of its divisors is an integer number (16745260896).

Almost surely, 2^{10877858095104} is an apocalyptic number.

10877858095104 is a gapful number since it is divisible by the number (14) 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 10877858095104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22505630644224).

10877858095104 is an abundant number, since it is smaller than the sum of its proper divisors (34133403193344).

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

10877858095104 is a wasteful number, since it uses less digits than its factorization.

10877858095104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 63.

The spelling of 10877858095104 in words is "ten trillion, eight hundred seventy-seven billion, eight hundred fifty-eight million, ninety-five thousand, one hundred four".