10861171077120 has 2496 divisors, whose sum is σ = 46001788323840. Its totient is φ = 2137635422208.

The previous prime is 10861171077109. The next prime is 10861171077161. The reversal of 10861171077120 is 2177017116801.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 122035630036 + ... + 122035630124.

Almost surely, 2^{10861171077120} is an apocalyptic number.

10861171077120 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 10861171077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23000894161920).

10861171077120 is an abundant number, since it is smaller than the sum of its proper divisors (35140617246720).

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

10861171077120 is a wasteful number, since it uses less digits than its factorization.

10861171077120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 42.

The spelling of 10861171077120 in words is "ten trillion, eight hundred sixty-one billion, one hundred seventy-one million, seventy-seven thousand, one hundred twenty".