20102506482240 has 3584 divisors, whose sum is σ = 96166438502400. Its totient is φ = 3834361774080.

The previous prime is 20102506482217. The next prime is 20102506482251. The reversal of 20102506482240 is 4228460520102.

20102506482240 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 2 + 5 + 0 + 648 + 2 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×20102506482240² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20102506482195 and 20102506482204.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 38436914619 + ... + 38436915141.

It is an arithmetic number, because the mean of its divisors is an integer number (26832153600).

Almost surely, 2^{20102506482240} is an apocalyptic number.

20102506482240 is a gapful number since it is divisible by the number (20) 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 20102506482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48083219251200).

20102506482240 is an abundant number, since it is smaller than the sum of its proper divisors (76063932020160).

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

20102506482240 is a wasteful number, since it uses less digits than its factorization.

20102506482240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 20102506482240 in words is "twenty trillion, one hundred two billion, five hundred six million, four hundred eighty-two thousand, two hundred forty".