10027591680 has 192 divisors, whose sum is σ = 32267289600. Its totient is φ = 2658467840.

The previous prime is 10027591643. The next prime is 10027591699. The reversal of 10027591680 is 8619572001.

It is a tau number, because it is divible by the number of its divisors (192).

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, 5866666 + ... + 5868374.

It is an arithmetic number, because the mean of its divisors is an integer number (168058800).

Almost surely, 2^10027591680 is an apocalyptic number.

10027591680 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 10027591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16133644800).

10027591680 is an abundant number, since it is smaller than the sum of its proper divisors (22239697920).

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

10027591680 is a wasteful number, since it uses less digits than its factorization.

10027591680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 10027591680 in words is "ten billion, twenty-seven million, five hundred ninety-one thousand, six hundred eighty".