860540054400 has 1152 divisors, whose sum is σ = 3568783458240. Its totient is φ = 195526656000.

The previous prime is 860540054389. The next prime is 860540054411. The reversal of 860540054400 is 4450045068.

860540054400 is a `hidden beast` number, since 8 + 60 + 54 + 0 + 0 + 544 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (860540054389) and next prime (860540054411).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 337333125 + ... + 337335675.

Almost surely, 2^860540054400 is an apocalyptic number.

860540054400 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 860540054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784391729120).

860540054400 is an abundant number, since it is smaller than the sum of its proper divisors (2708243403840).

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

860540054400 is a wasteful number, since it uses less digits than its factorization.

860540054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 860540054400 its reverse (4450045068), we get a palindrome (864990099468).

The spelling of 860540054400 in words is "eight hundred sixty billion, five hundred forty million, fifty-four thousand, four hundred".