10200075656620 has 96 divisors (see below), whose sum is σ = 22291809120000. Its totient is φ = 3915754080000.

The previous prime is 10200075656527. The next prime is 10200075656623. The reversal of 10200075656620 is 2665657000201.

It is not an unprimeable number, because it can be changed into a prime (10200075656623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72574215 + ... + 72714625.

It is an arithmetic number, because the mean of its divisors is an integer number (232206345000).

Almost surely, 2^{10200075656620} is an apocalyptic number.

10200075656620 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 10200075656620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11145904560000).

10200075656620 is an abundant number, since it is smaller than the sum of its proper divisors (12091733463380).

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

10200075656620 is a wasteful number, since it uses less digits than its factorization.

10200075656620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141199 (or 141197 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 10200075656620 in words is "ten trillion, two hundred billion, seventy-five million, six hundred fifty-six thousand, six hundred twenty".