82001183846400 has 4680 divisors, whose sum is σ = 384853856374944. Its totient is φ = 16893503078400.

The previous prime is 82001183846389. The next prime is 82001183846441. The reversal of 82001183846400 is 464838110028.

82001183846400 is a `hidden beast` number, since 8 + 2 + 0 + 0 + 1 + 183 + 8 + 464 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4680).

It is a super-2 number, since 2×82001183846400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 598548787132 + ... + 598548787268.

Almost surely, 2^{82001183846400} is an apocalyptic number.

82001183846400 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 82001183846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192426928187472).

82001183846400 is an abundant number, since it is smaller than the sum of its proper divisors (302852672528544).

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

82001183846400 is a wasteful number, since it uses less digits than its factorization.

82001183846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 82001183846400 in words is "eighty-two trillion, one billion, one hundred eighty-three million, eight hundred forty-six thousand, four hundred".