102586020480 has 640 divisors, whose sum is σ = 386658074880. Its totient is φ = 25867911168.

The previous prime is 102586020463. The next prime is 102586020487. The reversal of 102586020480 is 84020685201.

102586020480 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 8 + 602 + 0 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (102586020487) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 115654597 + ... + 115655483.

It is an arithmetic number, because the mean of its divisors is an integer number (604153242).

Almost surely, 2^102586020480 is an apocalyptic number.

102586020480 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 102586020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193329037440).

102586020480 is an abundant number, since it is smaller than the sum of its proper divisors (284072054400).

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

102586020480 is an equidigital number, since it uses as much as digits as its factorization.

102586020480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 102586020480 in words is "one hundred two billion, five hundred eighty-six million, twenty thousand, four hundred eighty".