101808564480 has 432 divisors, whose sum is σ = 405778673664. Its totient is φ = 23084974080.

The previous prime is 101808564469. The next prime is 101808564491. The reversal of 101808564480 is 84465808101.

101808564480 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 0 + 8 + 564 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (101808564469) and next prime (101808564491).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10236310 + ... + 10246250.

Almost surely, 2^101808564480 is an apocalyptic number.

101808564480 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 101808564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202889336832).

101808564480 is an abundant number, since it is smaller than the sum of its proper divisors (303970109184).

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

101808564480 is a wasteful number, since it uses less digits than its factorization.

101808564480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10102 (or 10085 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 101808564480 in words is "one hundred one billion, eight hundred eight million, five hundred sixty-four thousand, four hundred eighty".