10865422149120 has 5120 divisors, whose sum is σ = 54525710131200. Its totient is φ = 1981808640000.

The previous prime is 10865422149047. The next prime is 10865422149133. The reversal of 10865422149120 is 2194122456801.

10865422149120 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 542 + 2 + 14 + 91 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 511 ways as a sum of consecutive naturals, for example, 107578437070 + ... + 107578437170.

It is an arithmetic number, because the mean of its divisors is an integer number (10649552760).

Almost surely, 2^{10865422149120} is an apocalyptic number.

10865422149120 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 10865422149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27262855065600).

10865422149120 is an abundant number, since it is smaller than the sum of its proper divisors (43660287982080).

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

10865422149120 is a wasteful number, since it uses less digits than its factorization.

10865422149120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 10865422149120 in words is "ten trillion, eight hundred sixty-five billion, four hundred twenty-two million, one hundred forty-nine thousand, one hundred twenty".