20102407645824 has 512 divisors, whose sum is σ = 69695664537600. Its totient is φ = 5583713439744.

The previous prime is 20102407645823. The next prime is 20102407645829. The reversal of 20102407645824 is 42854670420102.

20102407645824 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 2 + 4 + 0 + 7 + 64 + 582 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20102407645824.

It is not an unprimeable number, because it can be changed into a prime (20102407645823) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1169892337 + ... + 1169909519.

It is an arithmetic number, because the mean of its divisors is an integer number (136124344800).

Almost surely, 2^{20102407645824} is an apocalyptic number.

20102407645824 is a gapful number since it is divisible by the number (24) 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 20102407645824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34847832268800).

20102407645824 is an abundant number, since it is smaller than the sum of its proper divisors (49593256891776).

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

20102407645824 is a wasteful number, since it uses less digits than its factorization.

20102407645824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18557 (or 18539 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 20102407645824 in words is "twenty trillion, one hundred two billion, four hundred seven million, six hundred forty-five thousand, eight hundred twenty-four".