10203989402880 has 3456 divisors, whose sum is σ = 47296451543040. Its totient is φ = 2037157724160.

The previous prime is 10203989402879. The next prime is 10203989402897. The reversal of 10203989402880 is 8820498930201.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 105195766992 + ... + 105195767088.

It is an arithmetic number, because the mean of its divisors is an integer number (13685315840).

Almost surely, 2^{10203989402880} is an apocalyptic number.

10203989402880 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 10203989402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23648225771520).

10203989402880 is an abundant number, since it is smaller than the sum of its proper divisors (37092462140160).

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

10203989402880 is a wasteful number, since it uses less digits than its factorization.

10203989402880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 10203989402880 in words is "ten trillion, two hundred three billion, nine hundred eighty-nine million, four hundred two thousand, eight hundred eighty".