10508525280 has 288 divisors, whose sum is σ = 40570927488. Its totient is φ = 2547417600.

The previous prime is 10508525257. The next prime is 10508525303. The reversal of 10508525280 is 8252580501.

10508525280 is a `hidden beast` number, since 1 + 0 + 50 + 8 + 525 + 2 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (10508525257) and next prime (10508525303).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10508525280² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 415395 + ... + 439965.

It is an arithmetic number, because the mean of its divisors is an integer number (140871276).

Almost surely, 2^10508525280 is an apocalyptic number.

10508525280 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 10508525280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20285463744).

10508525280 is an abundant number, since it is smaller than the sum of its proper divisors (30062402208).

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

10508525280 is a wasteful number, since it uses less digits than its factorization.

10508525280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24612 (or 24592 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The spelling of 10508525280 in words is "ten billion, five hundred eight million, five hundred twenty-five thousand, two hundred eighty".