10424601520200 has 720 divisors, whose sum is σ = 42161487490980. Its totient is φ = 2380272168960.

The previous prime is 10424601520187. The next prime is 10424601520313. The reversal of 10424601520200 is 202510642401.

10424601520200 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 4 + 601 + 52 + 0 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9192648035844 + 1231953484356 = 3031938^2 + 1109934^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 819989044 + ... + 820001756.

Almost surely, 2^{10424601520200} is an apocalyptic number.

10424601520200 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 10424601520200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21080743745490).

10424601520200 is an abundant number, since it is smaller than the sum of its proper divisors (31736885970780).

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

10424601520200 is a wasteful number, since it uses less digits than its factorization.

10424601520200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13788 (or 13763 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 10424601520200 in words is "ten trillion, four hundred twenty-four billion, six hundred one million, five hundred twenty thousand, two hundred".