9787096166400 has 2496 divisors, whose sum is σ = 44017956956160. Its totient is φ = 2080899072000.

The previous prime is 9787096166399. The next prime is 9787096166443. The reversal of 9787096166400 is 46616907879.

9787096166400 is a `hidden beast` number, since 9 + 7 + 8 + 7 + 0 + 9 + 616 + 6 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49680691102 + ... + 49680691298.

Almost surely, 2^{9787096166400} is an apocalyptic number.

9787096166400 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 9787096166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22008978478080).

9787096166400 is an abundant number, since it is smaller than the sum of its proper divisors (34230860789760).

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

9787096166400 is a wasteful number, since it uses less digits than its factorization.

9787096166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 9787096166400 in words is "nine trillion, seven hundred eighty-seven billion, ninety-six million, one hundred sixty-six thousand, four hundred".