10280027520 has 1152 divisors, whose sum is σ = 45711993600. Its totient is φ = 2194698240.

The previous prime is 10280027519. The next prime is 10280027581. The reversal of 10280027520 is 2572008201.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 144789085 + ... + 144789155.

It is an arithmetic number, because the mean of its divisors is an integer number (39680550).

Almost surely, 2^10280027520 is an apocalyptic number.

10280027520 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 10280027520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22855996800).

10280027520 is an abundant number, since it is smaller than the sum of its proper divisors (35431966080).

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

10280027520 is an equidigital number, since it uses as much as digits as its factorization.

10280027520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 10280027520 in words is "ten billion, two hundred eighty million, twenty-seven thousand, five hundred twenty".