10514504000 has 672 divisors, whose sum is σ = 35501836032. Its totient is φ = 2995200000.

The previous prime is 10514503949. The next prime is 10514504071. The reversal of 10514504000 is 40541501.

It is a super-2 number, since 2×10514504000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104103950 + ... + 104104050.

Almost surely, 2^10514504000 is an apocalyptic number.

10514504000 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 10514504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17750918016).

10514504000 is an abundant number, since it is smaller than the sum of its proper divisors (24987332032).

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

10514504000 is a wasteful number, since it uses less digits than its factorization.

10514504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The spelling of 10514504000 in words is "ten billion, five hundred fourteen million, five hundred four thousand".