10268461080 has 384 divisors, whose sum is σ = 36781056000. Its totient is φ = 2474634240.

The previous prime is 10268461051. The next prime is 10268461087. The reversal of 10268461080 is 8016486201.

10268461080 is a `hidden beast` number, since 10 + 26 + 8 + 4 + 610 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10268461087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16750854 + ... + 16751466.

It is an arithmetic number, because the mean of its divisors is an integer number (95784000).

Almost surely, 2^10268461080 is an apocalyptic number.

10268461080 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 10268461080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18390528000).

10268461080 is an abundant number, since it is smaller than the sum of its proper divisors (26512594920).

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

10268461080 is a wasteful number, since it uses less digits than its factorization.

10268461080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 10268461080 in words is "ten billion, two hundred sixty-eight million, four hundred sixty-one thousand, eighty".