10525127040 has 448 divisors, whose sum is σ = 39974420160. Its totient is φ = 2639609856.

The previous prime is 10525127033. The next prime is 10525127051. The reversal of 10525127040 is 4072152501.

10525127040 is a `hidden beast` number, since 10 + 525 + 127 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×10525127040² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10525126995 and 10525127013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7930857 + ... + 7932183.

Almost surely, 2^10525127040 is an apocalyptic number.

10525127040 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 10525127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19987210080).

10525127040 is an abundant number, since it is smaller than the sum of its proper divisors (29449293120).

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

10525127040 is an equidigital number, since it uses as much as digits as its factorization.

10525127040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

Adding to 10525127040 its reverse (4072152501), we get a palindrome (14597279541).

The spelling of 10525127040 in words is "ten billion, five hundred twenty-five million, one hundred twenty-seven thousand, forty".