10515349824 has 336 divisors, whose sum is σ = 33478232256. Its totient is φ = 2903040000.

The previous prime is 10515349811. The next prime is 10515349973. The reversal of 10515349824 is 42894351501.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×10515349824² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 41893699 + ... + 41893949.

It is an arithmetic number, because the mean of its divisors is an integer number (99637596).

Almost surely, 2^10515349824 is an apocalyptic number.

10515349824 is a gapful number since it is divisible by the number (14) 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 10515349824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16739116128).

10515349824 is an abundant number, since it is smaller than the sum of its proper divisors (22962882432).

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

10515349824 is a wasteful number, since it uses less digits than its factorization.

10515349824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 10515349824 in words is "ten billion, five hundred fifteen million, three hundred forty-nine thousand, eight hundred twenty-four".