82487887896960 has 384 divisors, whose sum is σ = 350573525789760. Its totient is φ = 17404037775360.

The previous prime is 82487887896907. The next prime is 82487887896971. The reversal of 82487887896960 is 6969878878428.

82487887896960 is a `hidden beast` number, since 8 + 2 + 487 + 8 + 8 + 7 + 8 + 9 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78161631 + ... + 79209950.

Almost surely, 2^{82487887896960} is an apocalyptic number.

82487887896960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82487887896960 is an abundant number, since it is smaller than the sum of its proper divisors (268085637892800).

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

82487887896960 is a wasteful number, since it uses less digits than its factorization.

82487887896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157371626 (or 157371611 counting only the distinct ones).

The product of its (nonzero) digits is 37456183296, while the sum is 90.

The spelling of 82487887896960 in words is "eighty-two trillion, four hundred eighty-seven billion, eight hundred eighty-seven million, eight hundred ninety-six thousand, nine hundred sixty".