10030781680 has 80 divisors (see below), whose sum is σ = 23835081600. Its totient is φ = 3924910080.

The previous prime is 10030781641. The next prime is 10030781731. The reversal of 10030781680 is 8618703001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10030781680² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 681600 + ... + 696160.

It is an arithmetic number, because the mean of its divisors is an integer number (297938520).

Almost surely, 2^10030781680 is an apocalyptic number.

10030781680 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 10030781680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11917540800).

10030781680 is an abundant number, since it is smaller than the sum of its proper divisors (13804299920).

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

10030781680 is a wasteful number, since it uses less digits than its factorization.

10030781680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14762 (or 14756 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The spelling of 10030781680 in words is "ten billion, thirty million, seven hundred eighty-one thousand, six hundred eighty".