10027677120 has 448 divisors, whose sum is σ = 36052231680. Its totient is φ = 2346319872.

The previous prime is 10027677109. The next prime is 10027677223. The reversal of 10027677120 is 2177672001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22635619 + ... + 22636061.

Almost surely, 2^10027677120 is an apocalyptic number.

10027677120 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 10027677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18026115840).

10027677120 is an abundant number, since it is smaller than the sum of its proper divisors (26024554560).

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

10027677120 is a wasteful number, since it uses less digits than its factorization.

10027677120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 33.

The spelling of 10027677120 in words is "ten billion, twenty-seven million, six hundred seventy-seven thousand, one hundred twenty".