83765193600000 has 2112 divisors, whose sum is σ = 324960921169920. Its totient is φ = 18968371200000.

The previous prime is 83765193599963. The next prime is 83765193600017. The reversal of 83765193600000 is 639156738.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 166531199749 + ... + 166531200251.

Almost surely, 2^{83765193600000} is an apocalyptic number.

83765193600000 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 83765193600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162480460584960).

83765193600000 is an abundant number, since it is smaller than the sum of its proper divisors (241195727569920).

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

83765193600000 is a wasteful number, since it uses less digits than its factorization.

83765193600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 83765193600000 in words is "eighty-three trillion, seven hundred sixty-five billion, one hundred ninety-three million, six hundred thousand".