102464008560 has 400 divisors, whose sum is σ = 373072059360. Its totient is φ = 26034462720.

The previous prime is 102464008547. The next prime is 102464008571. The reversal of 102464008560 is 65800464201.

102464008560 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 640 + 0 + 8 + 5 + 6 + 0 = 666.

102464008560 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11419756 + ... + 11428724.

Almost surely, 2^102464008560 is an apocalyptic number.

102464008560 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 102464008560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186536029680).

102464008560 is an abundant number, since it is smaller than the sum of its proper divisors (270608050800).

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

102464008560 is a wasteful number, since it uses less digits than its factorization.

102464008560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9078 (or 9063 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 102464008560 in words is "one hundred two billion, four hundred sixty-four million, eight thousand, five hundred sixty".