10111229876880 has 600 divisors, whose sum is σ = 40632224371200. Its totient is φ = 2322192913920.

The previous prime is 10111229876879. The next prime is 10111229876893. The reversal of 10111229876880 is 8867892211101.

10111229876880 is a `hidden beast` number, since 101 + 112 + 298 + 7 + 68 + 80 = 666.

It is a super-2 number, since 2×10111229876880² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14558161 + ... + 15236879.

It is an arithmetic number, because the mean of its divisors is an integer number (67720373952).

Almost surely, 2^{10111229876880} is an apocalyptic number.

10111229876880 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 10111229876880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20316112185600).

10111229876880 is an abundant number, since it is smaller than the sum of its proper divisors (30520994494320).

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

10111229876880 is a wasteful number, since it uses less digits than its factorization.

10111229876880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678785 (or 678759 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 54.

It can be divided in two parts, 101112 and 29876880, that added together give a palindrome (29977992).

The spelling of 10111229876880 in words is "ten trillion, one hundred eleven billion, two hundred twenty-nine million, eight hundred seventy-six thousand, eight hundred eighty".