10203025680 has 280 divisors, whose sum is σ = 35854448472. Its totient is φ = 2698831872.

The previous prime is 10203025649. The next prime is 10203025697. The reversal of 10203025680 is 8652030201.

It can be written as a sum of positive squares in 4 ways, for example, as 1894338576 + 8308687104 = 43524^2 + 91152^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7989202 + ... + 7990478.

Almost surely, 2^10203025680 is an apocalyptic number.

10203025680 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 10203025680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17927224236).

10203025680 is an abundant number, since it is smaller than the sum of its proper divisors (25651422792).

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

10203025680 is a wasteful number, since it uses less digits than its factorization.

10203025680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 10203025680 its reverse (8652030201), we get a palindrome (18855055881).

The spelling of 10203025680 in words is "ten billion, two hundred three million, twenty-five thousand, six hundred eighty".