83904379545600 has 1440 divisors, whose sum is σ = 325147782960000. Its totient is φ = 21362304614400.

The previous prime is 83904379545551. The next prime is 83904379545661. The reversal of 83904379545600 is 654597340938.

83904379545600 is a `hidden beast` number, since 8 + 3 + 90 + 4 + 3 + 7 + 95 + 456 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 119 ways as a sum of consecutive naturals, for example, 7991649151 + ... + 7991659649.

It is an arithmetic number, because the mean of its divisors is an integer number (225797071500).

Almost surely, 2^{83904379545600} is an apocalyptic number.

83904379545600 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 83904379545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162573891480000).

83904379545600 is an abundant number, since it is smaller than the sum of its proper divisors (241243403414400).

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

83904379545600 is a wasteful number, since it uses less digits than its factorization.

83904379545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10631 (or 10597 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 83904379545600 in words is "eighty-three trillion, nine hundred four billion, three hundred seventy-nine million, five hundred forty-five thousand, six hundred".