83656931030400 has 768 divisors, whose sum is σ = 350072193945600. Its totient is φ = 17081310412800.

The previous prime is 83656931030363. The next prime is 83656931030417. The reversal of 83656931030400 is 403013965638.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 83656931030400.

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 95 ways as a sum of consecutive naturals, for example, 25537066 + ... + 28626134.

It is an arithmetic number, because the mean of its divisors is an integer number (455823169200).

Almost surely, 2^{83656931030400} is an apocalyptic number.

83656931030400 is a gapful number since it is divisible by the number (80) 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 83656931030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175036096972800).

83656931030400 is an abundant number, since it is smaller than the sum of its proper divisors (266415262915200).

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

83656931030400 is a wasteful number, since it uses less digits than its factorization.

83656931030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089147 (or 3089130 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 83656931030400 in words is "eighty-three trillion, six hundred fifty-six billion, nine hundred thirty-one million, thirty thousand, four hundred".