10245161620800 has 1260 divisors, whose sum is σ = 40732548692220. Its totient is φ = 2522656604160.

The previous prime is 10245161620783. The next prime is 10245161620849. The reversal of 10245161620800 is 802616154201.

It is a happy number.

10245161620800 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 516 + 1 + 62 + 0 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 40816929024 + 10204344691776 = 202032^2 + 3194424^2 .

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 179 ways as a sum of consecutive naturals, for example, 1988191024 + ... + 1988196176.

It is an arithmetic number, because the mean of its divisors is an integer number (32327419597).

Almost surely, 2^{10245161620800} is an apocalyptic number.

10245161620800 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 10245161620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20366274346110).

10245161620800 is an abundant number, since it is smaller than the sum of its proper divisors (30487387071420).

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

10245161620800 is a wasteful number, since it uses less digits than its factorization.

10245161620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5262 (or 5215 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10245161620800 in words is "ten trillion, two hundred forty-five billion, one hundred sixty-one million, six hundred twenty thousand, eight hundred".