83922307994880 has 864 divisors, whose sum is σ = 319854281894784. Its totient is φ = 20995146252288.

The previous prime is 83922307994851. The next prime is 83922307994893. The reversal of 83922307994880 is 8849970322938.

83922307994880 is a `hidden beast` number, since 8 + 3 + 9 + 22 + 30 + 7 + 99 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×83922307994880² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 83922307994799 and 83922307994808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1655018487 + ... + 1655069193.

It is an arithmetic number, because the mean of its divisors is an integer number (370201715156).

Almost surely, 2^{83922307994880} is an apocalyptic number.

83922307994880 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 83922307994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159927140947392).

83922307994880 is an abundant number, since it is smaller than the sum of its proper divisors (235931973899904).

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

83922307994880 is a wasteful number, since it uses less digits than its factorization.

83922307994880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51073 (or 51047 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 83922307994880 in words is "eighty-three trillion, nine hundred twenty-two billion, three hundred seven million, nine hundred ninety-four thousand, eight hundred eighty".