10514952000 has 672 divisors, whose sum is σ = 44439742464. Its totient is φ = 2322432000.

The previous prime is 10514951987. The next prime is 10514952059. The reversal of 10514952000 is 25941501.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×10514952000² (a number of 21 digits) contains 22 as substring.

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, 15623664 + ... + 15624336.

Almost surely, 2^10514952000 is an apocalyptic number.

10514952000 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 10514952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22219871232).

10514952000 is an abundant number, since it is smaller than the sum of its proper divisors (33924790464).

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

10514952000 is a wasteful number, since it uses less digits than its factorization.

10514952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 10514952000 in words is "ten billion, five hundred fourteen million, nine hundred fifty-two thousand".