861010429466880 has 5184 divisors, whose sum is σ = 3972503177330688. Its totient is φ = 174739783680000.

The previous prime is 861010429466851. The next prime is 861010429466897. The reversal of 861010429466880 is 88664924010168.

861010429466880 is a `hidden beast` number, since 8 + 6 + 101 + 0 + 429 + 46 + 68 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a super-2 number, since 2×861010429466880² (a number of 31 digits) contains 22 as substring.

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 (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3572657383560 + ... + 3572657383800.

It is an arithmetic number, because the mean of its divisors is an integer number (766300767232).

Almost surely, 2^{861010429466880} is an apocalyptic number.

861010429466880 is a gapful number since it is divisible by the number (80) 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 861010429466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986251588665344).

861010429466880 is an abundant number, since it is smaller than the sum of its proper divisors (3111492747863808).

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

861010429466880 is a wasteful number, since it uses less digits than its factorization.

861010429466880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 861010429466880 in words is "eight hundred sixty-one trillion, ten billion, four hundred twenty-nine million, four hundred sixty-six thousand, eight hundred eighty".