82783901491200 has 6720 divisors, whose sum is σ = 409658000209920. Its totient is φ = 16052649984000.

The previous prime is 82783901491099. The next prime is 82783901491201. The reversal of 82783901491200 is 219410938728.

82783901491200 is a `hidden beast` number, since 8 + 2 + 7 + 8 + 390 + 1 + 49 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

It is a super-2 number, since 2×82783901491200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (82783901491201) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1357113139170 + ... + 1357113139230.

It is an arithmetic number, because the mean of its divisors is an integer number (60961011936).

Almost surely, 2^{82783901491200} is an apocalyptic number.

82783901491200 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 82783901491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204829000104960).

82783901491200 is an abundant number, since it is smaller than the sum of its proper divisors (326874098718720).

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

82783901491200 is a wasteful number, since it uses less digits than its factorization.

82783901491200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 82783901491200 in words is "eighty-two trillion, seven hundred eighty-three billion, nine hundred one million, four hundred ninety-one thousand, two hundred".