83775357388800 has 3456 divisors, whose sum is σ = 404073856368000. Its totient is φ = 16803260006400.

The previous prime is 83775357388783. The next prime is 83775357388871. The reversal of 83775357388800 is 888375357738.

83775357388800 is a `hidden beast` number, since 8 + 3 + 7 + 7 + 535 + 7 + 3 + 8 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 21608292462 + ... + 21608296338.

It is an arithmetic number, because the mean of its divisors is an integer number (116919518625).

Almost surely, 2^{83775357388800} is an apocalyptic number.

83775357388800 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 83775357388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202036928184000).

83775357388800 is an abundant number, since it is smaller than the sum of its proper divisors (320298498979200).

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

83775357388800 is a wasteful number, since it uses less digits than its factorization.

83775357388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3972 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 948326400, while the sum is 72.

The spelling of 83775357388800 in words is "eighty-three trillion, seven hundred seventy-five billion, three hundred fifty-seven million, three hundred eighty-eight thousand, eight hundred".