10267750080 has 672 divisors, whose sum is σ = 42808550400. Its totient is φ = 2309658624.

The previous prime is 10267750079. The next prime is 10267750099. The reversal of 10267750080 is 8005776201.

10267750080 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 77 + 500 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33445287 + ... + 33445593.

It is an arithmetic number, because the mean of its divisors is an integer number (63703200).

Almost surely, 2^10267750080 is an apocalyptic number.

10267750080 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 10267750080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21404275200).

10267750080 is an abundant number, since it is smaller than the sum of its proper divisors (32540800320).

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

10267750080 is a wasteful number, since it uses less digits than its factorization.

10267750080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 10267750080 in words is "ten billion, two hundred sixty-seven million, seven hundred fifty thousand, eighty".