83561171792400 has 405 divisors, whose sum is σ = 292462438879117. Its totient is φ = 22093866412800.

The previous prime is 83561171792327. The next prime is 83561171792407. The reversal of 83561171792400 is 429717116538.

The square root of 83561171792400 is 9141180.

It is a perfect power (a square), and thus also a powerful number.

83561171792400 is a `hidden beast` number, since 8 + 3 + 5 + 61 + 1 + 7 + 179 + 2 + 400 = 666.

83561171792400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 30082021845264 + 53479149947136 = 5484708^2 + 7312944^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83561171792407) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 71849674219 + ... + 71849675381.

It is a 1-persistent number, because it is pandigital, but 2⋅83561171792400 = 167122343584800 is not.

Almost surely, 2^{83561171792400} is an apocalyptic number.

83561171792400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

83561171792400 is the 9141180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83561171792400

83561171792400 is an abundant number, since it is smaller than the sum of its proper divisors (208901267086717).

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

83561171792400 is a wasteful number, since it uses less digits than its factorization.

83561171792400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2612 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 83561171792400 in words is "eighty-three trillion, five hundred sixty-one billion, one hundred seventy-one million, seven hundred ninety-two thousand, four hundred".