960084518400 has 1080 divisors, whose sum is σ = 4017633964344. Its totient is φ = 218308608000.

The previous prime is 960084518369. The next prime is 960084518417. The reversal of 960084518400 is 4815480069.

960084518400 is a `hidden beast` number, since 96 + 0 + 0 + 8 + 4 + 518 + 40 + 0 = 666.

960084518400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 107 ways as a sum of consecutive naturals, for example, 1597478100 + ... + 1597478700.

Almost surely, 2^960084518400 is an apocalyptic number.

960084518400 is a gapful number since it is divisible by the number (90) 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 960084518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008816982172).

960084518400 is an abundant number, since it is smaller than the sum of its proper divisors (3057549445944).

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

960084518400 is a wasteful number, since it uses less digits than its factorization.

960084518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 901 counting only the distinct ones).

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

Adding to 960084518400 its reverse (4815480069), we get a palindrome (964899998469).

The spelling of 960084518400 in words is "nine hundred sixty billion, eighty-four million, five hundred eighteen thousand, four hundred".