960360912900 has 576 divisors, whose sum is σ = 3312747970560. Its totient is φ = 238079001600.

The previous prime is 960360912899. The next prime is 960360912997. The reversal of 960360912900 is 9219063069.

It is a happy number.

960360912900 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×960360912900² (a number of 25 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 883496157 + ... + 883497243.

It is an arithmetic number, because the mean of its divisors is an integer number (5751298560).

Almost surely, 2^960360912900 is an apocalyptic number.

960360912900 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 960360912900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656373985280).

960360912900 is an abundant number, since it is smaller than the sum of its proper divisors (2352387057660).

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

960360912900 is a wasteful number, since it uses less digits than its factorization.

960360912900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

Adding to 960360912900 its reverse (9219063069), we get a palindrome (969579975969).

The spelling of 960360912900 in words is "nine hundred sixty billion, three hundred sixty million, nine hundred twelve thousand, nine hundred".