82787167494144 has 280 divisors, whose sum is σ = 248567574644400. Its totient is φ = 27457006731264.

The previous prime is 82787167494113. The next prime is 82787167494191. The reversal of 82787167494144 is 44149476178728.

82787167494144 is a `hidden beast` number, since 8 + 2 + 7 + 8 + 7 + 167 + 49 + 414 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 131733372 + ... + 132360324.

Almost surely, 2^{82787167494144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82787167494144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124283787322200).

82787167494144 is an abundant number, since it is smaller than the sum of its proper divisors (165780407150256).

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

82787167494144 is an equidigital number, since it uses as much as digits as its factorization.

82787167494144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627190 (or 627157 counting only the distinct ones).

The product of its digits is 606928896, while the sum is 72.

The spelling of 82787167494144 in words is "eighty-two trillion, seven hundred eighty-seven billion, one hundred sixty-seven million, four hundred ninety-four thousand, one hundred forty-four".