861402729600 has 2688 divisors, whose sum is σ = 4031155382400. Its totient is φ = 177248010240.

The previous prime is 861402729599. The next prime is 861402729613. The reversal of 861402729600 is 6927204168.

It is a happy number.

861402729600 is a `hidden beast` number, since 8 + 6 + 14 + 0 + 2 + 7 + 29 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 8050492747 + ... + 8050492853.

Almost surely, 2^861402729600 is an apocalyptic number.

861402729600 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 861402729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015577691200).

861402729600 is an abundant number, since it is smaller than the sum of its proper divisors (3169752652800).

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

861402729600 is a wasteful number, since it uses less digits than its factorization.

861402729600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 861402729600 in words is "eight hundred sixty-one billion, four hundred two million, seven hundred twenty-nine thousand, six hundred".