861294268800 has 576 divisors, whose sum is σ = 3515736987360. Its totient is φ = 196676812800.

The previous prime is 861294268777. The next prime is 861294268811. The reversal of 861294268800 is 8862492168.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 413883760 + ... + 413885840.

Almost surely, 2^861294268800 is an apocalyptic number.

861294268800 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 861294268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757868493680).

861294268800 is an abundant number, since it is smaller than the sum of its proper divisors (2654442718560).

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

861294268800 is a wasteful number, since it uses less digits than its factorization.

861294268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4171 (or 4151 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 861294268800 in words is "eight hundred sixty-one billion, two hundred ninety-four million, two hundred sixty-eight thousand, eight hundred".