10196984672784 has 640 divisors, whose sum is σ = 37213090432000. Its totient is φ = 2689273488384.

The previous prime is 10196984672723. The next prime is 10196984672813. The reversal of 10196984672784 is 48727648969101.

10196984672784 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 6 + 98 + 467 + 2 + 78 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 155996652 + ... + 156062004.

It is an arithmetic number, because the mean of its divisors is an integer number (58145453800).

Almost surely, 2^{10196984672784} is an apocalyptic number.

10196984672784 is a gapful number since it is divisible by the number (14) 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 10196984672784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18606545216000).

10196984672784 is an abundant number, since it is smaller than the sum of its proper divisors (27016105759216).

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

10196984672784 is an frugal number, since it uses more digits than its factorization.

10196984672784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65416 (or 65378 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 10196984672784 in words is "ten trillion, one hundred ninety-six billion, nine hundred eighty-four million, six hundred seventy-two thousand, seven hundred eighty-four".