102576045071808 has 1344 divisors, whose sum is σ = 393719766515712. Its totient is φ = 24716900597760.

The previous prime is 102576045071789. The next prime is 102576045071881. The reversal of 102576045071808 is 808170540675201.

102576045071808 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 7 + 6 + 0 + 450 + 7 + 180 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17318255535 + ... + 17318261457.

It is an arithmetic number, because the mean of its divisors is an integer number (292946254848).

Almost surely, 2^{102576045071808} is an apocalyptic number.

102576045071808 is a gapful number since it is divisible by the number (18) 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 102576045071808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196859883257856).

102576045071808 is an abundant number, since it is smaller than the sum of its proper divisors (291143721443904).

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

102576045071808 is a wasteful number, since it uses less digits than its factorization.

102576045071808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6302 (or 6289 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 102576045071808 in words is "one hundred two trillion, five hundred seventy-six billion, forty-five million, seventy-one thousand, eight hundred eight".