10572079518 has 288 divisors, whose sum is σ = 31768341696. Its totient is φ = 2471040000.

The previous prime is 10572079517. The next prime is 10572079537. The reversal of 10572079518 is 81597027501.

10572079518 is a `hidden beast` number, since 1 + 0 + 572 + 0 + 79 + 5 + 1 + 8 = 666.

It is a super-2 number, since 2×10572079518² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10572079517) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8125468 + ... + 8126768.

It is an arithmetic number, because the mean of its divisors is an integer number (110306742).

Almost surely, 2^10572079518 is an apocalyptic number.

10572079518 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10572079518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15884170848).

10572079518 is an abundant number, since it is smaller than the sum of its proper divisors (21196262178).

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

10572079518 is a wasteful number, since it uses less digits than its factorization.

10572079518 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 45.

The spelling of 10572079518 in words is "ten billion, five hundred seventy-two million, seventy-nine thousand, five hundred eighteen".