863151864120 has 2304 divisors, whose sum is σ = 3977465472000. Its totient is φ = 162452459520.

The previous prime is 863151864079. The next prime is 863151864143. The reversal of 863151864120 is 21468151368.

863151864120 is a `hidden beast` number, since 8 + 6 + 3 + 1 + 518 + 6 + 4 + 120 = 666.

It is a super-3 number, since 3×863151864120³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 23328428742 + ... + 23328428778.

It is an arithmetic number, because the mean of its divisors is an integer number (1726330500).

Almost surely, 2^863151864120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 863151864120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988732736000).

863151864120 is an abundant number, since it is smaller than the sum of its proper divisors (3114313607880).

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

863151864120 is a wasteful number, since it uses less digits than its factorization.

863151864120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

It can be divided in two parts, 863151 and 864120, that added together give a palindrome (1727271).

The spelling of 863151864120 in words is "eight hundred sixty-three billion, one hundred fifty-one million, eight hundred sixty-four thousand, one hundred twenty".