102818712084480 has 672 divisors, whose sum is σ = 407489483419200. Its totient is φ = 23492397367296.

The previous prime is 102818712084461. The next prime is 102818712084493. The reversal of 102818712084480 is 84480217818201.

102818712084480 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 1 + 87 + 1 + 2 + 0 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×102818712084480² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8590411936 + ... + 8590423904.

It is an arithmetic number, because the mean of its divisors is an integer number (606383159850).

Almost surely, 2^{102818712084480} is an apocalyptic number.

102818712084480 is a gapful number since it is divisible by the number (10) 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 102818712084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203744741709600).

102818712084480 is an abundant number, since it is smaller than the sum of its proper divisors (304670771334720).

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

102818712084480 is a wasteful number, since it uses less digits than its factorization.

102818712084480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15342 (or 15315 counting only the distinct ones).

The product of its (nonzero) digits is 1835008, while the sum is 54.

The spelling of 102818712084480 in words is "one hundred two trillion, eight hundred eighteen billion, seven hundred twelve million, eighty-four thousand, four hundred eighty".