10515825540 has 192 divisors, whose sum is σ = 36224133120. Its totient is φ = 2511146880.

The previous prime is 10515825533. The next prime is 10515825589. The reversal of 10515825540 is 4552851501.

10515825540 is a `hidden beast` number, since 1 + 0 + 51 + 58 + 2 + 554 + 0 = 666.

It is a super-2 number, since 2×10515825540² (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 junction number, because it is equal to n+sod(n) for n = 10515825495 and 10515825504.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 384769 + ... + 411191.

It is an arithmetic number, because the mean of its divisors is an integer number (188667360).

Almost surely, 2^10515825540 is an apocalyptic number.

10515825540 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 10515825540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18112066560).

10515825540 is an abundant number, since it is smaller than the sum of its proper divisors (25708307580).

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

10515825540 is a wasteful number, since it uses less digits than its factorization.

10515825540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26519 (or 26511 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The spelling of 10515825540 in words is "ten billion, five hundred fifteen million, eight hundred twenty-five thousand, five hundred forty".