969399471052800 has 1728 divisors, whose sum is σ = 3607094411182080. Its totient is φ = 248662622208000.

The previous prime is 969399471052741. The next prime is 969399471052823. The reversal of 969399471052800 is 8250174993969.

969399471052800 is a `hidden beast` number, since 9 + 6 + 9 + 3 + 9 + 94 + 7 + 1 + 0 + 528 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 331192164937 + ... + 331192167863.

It is an arithmetic number, because the mean of its divisors is an integer number (2087438895360).

It is a 2-persistent number, because it is pandigital, and so is 2⋅969399471052800 = 1938798942105600, but 3⋅969399471052800 = 2908198413158400 is not.

Almost surely, 2^{969399471052800} is an apocalyptic number.

969399471052800 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 969399471052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803547205591040).

969399471052800 is an abundant number, since it is smaller than the sum of its proper divisors (2637694940129280).

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

969399471052800 is a wasteful number, since it uses less digits than its factorization.

969399471052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3280 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 969399471052800 in words is "nine hundred sixty-nine trillion, three hundred ninety-nine billion, four hundred seventy-one million, fifty-two thousand, eight hundred".