861504364800 has 162 divisors, whose sum is σ = 3080072746842. Its totient is φ = 229734481920.

The previous prime is 861504364789. The next prime is 861504364801. The reversal of 861504364800 is 8463405168.

861504364800 is a `hidden beast` number, since 8 + 6 + 1 + 504 + 3 + 64 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1151652096 + 860352712704 = 33936^2 + 927552^2 .

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

It is not an unprimeable number, because it can be changed into a prime (861504364801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7420737 + ... + 7535936.

Almost surely, 2^861504364800 is an apocalyptic number.

861504364800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

861504364800 is an abundant number, since it is smaller than the sum of its proper divisors (2218568382042).

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

861504364800 is a wasteful number, since it uses less digits than its factorization.

861504364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14956705 (or 14956683 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

Adding to 861504364800 its reverse (8463405168), we get a palindrome (869967769968).

The spelling of 861504364800 in words is "eight hundred sixty-one billion, five hundred four million, three hundred sixty-four thousand, eight hundred".