860047372800 has 3240 divisors, whose sum is σ = 4269358819440. Its totient is φ = 169305292800.

The previous prime is 860047372787. The next prime is 860047372837. The reversal of 860047372800 is 8273740068.

It is a happy number.

860047372800 is a `hidden beast` number, since 8 + 600 + 4 + 7 + 37 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

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 323 ways as a sum of consecutive naturals, for example, 45265651191 + ... + 45265651209.

Almost surely, 2^860047372800 is an apocalyptic number.

860047372800 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 860047372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134679409720).

860047372800 is an abundant number, since it is smaller than the sum of its proper divisors (3409311446640).

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

860047372800 is an equidigital number, since it uses as much as digits as its factorization.

860047372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 860047372800 in words is "eight hundred sixty billion, forty-seven million, three hundred seventy-two thousand, eight hundred".