9913765478400 has 3240 divisors, whose sum is σ = 46062772793856. Its totient is φ = 2063912140800.

The previous prime is 9913765478381. The next prime is 9913765478437. The reversal of 9913765478400 is 48745673199.

9913765478400 is a `hidden beast` number, since 9 + 9 + 1 + 3 + 7 + 6 + 547 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 319798886385 + ... + 319798886415.

Almost surely, 2^{9913765478400} is an apocalyptic number.

9913765478400 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 9913765478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23031386396928).

9913765478400 is an abundant number, since it is smaller than the sum of its proper divisors (36149007315456).

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

9913765478400 is an frugal number, since it uses more digits than its factorization.

9913765478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 9913765478400 in words is "nine trillion, nine hundred thirteen billion, seven hundred sixty-five million, four hundred seventy-eight thousand, four hundred".