861359297904 has 240 divisors, whose sum is σ = 2781747671040. Its totient is φ = 243723317760.

The previous prime is 861359297833. The next prime is 861359297923. The reversal of 861359297904 is 409792953168.

861359297904 is a `hidden beast` number, since 8 + 613 + 5 + 9 + 2 + 9 + 7 + 9 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 43694002 + ... + 43713710.

It is an arithmetic number, because the mean of its divisors is an integer number (11590615296).

It is a 1-persistent number, because it is pandigital, but 2⋅861359297904 = 1722718595808 is not.

Almost surely, 2^861359297904 is an apocalyptic number.

861359297904 is a gapful number since it is divisible by the number (84) 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 861359297904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390873835520).

861359297904 is an abundant number, since it is smaller than the sum of its proper divisors (1920388373136).

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

861359297904 is a wasteful number, since it uses less digits than its factorization.

861359297904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20148 (or 20139 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 861359297904 in words is "eight hundred sixty-one billion, three hundred fifty-nine million, two hundred ninety-seven thousand, nine hundred four".