965248620008400 has 960 divisors, whose sum is σ = 4260672339517440. Its totient is φ = 202102192281600.

The previous prime is 965248620008369. The next prime is 965248620008443. The reversal of 965248620008400 is 4800026842569.

965248620008400 is a `hidden beast` number, since 9 + 6 + 5 + 2 + 4 + 8 + 620 + 0 + 0 + 8 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 124998169 + ... + 132495431.

It is an arithmetic number, because the mean of its divisors is an integer number (4438200353664).

Almost surely, 2^{965248620008400} is an apocalyptic number.

965248620008400 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 965248620008400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130336169758720).

965248620008400 is an abundant number, since it is smaller than the sum of its proper divisors (3295423719509040).

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

965248620008400 is a wasteful number, since it uses less digits than its factorization.

965248620008400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7497441 (or 7497424 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 965248620008400 in words is "nine hundred sixty-five trillion, two hundred forty-eight billion, six hundred twenty million, eight thousand, four hundred".