10512274500 has 768 divisors, whose sum is σ = 43051008000. Its totient is φ = 2155507200.

The previous prime is 10512274477. The next prime is 10512274501. The reversal of 10512274500 is 547221501.

It is a super-4 number, since 4×10512274500⁴ (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10512274501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 52825401 + ... + 52825599.

It is an arithmetic number, because the mean of its divisors is an integer number (56056000).

Almost surely, 2^10512274500 is an apocalyptic number.

10512274500 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 10512274500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21525504000).

10512274500 is an abundant number, since it is smaller than the sum of its proper divisors (32538733500).

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

10512274500 is a wasteful number, since it uses less digits than its factorization.

10512274500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The spelling of 10512274500 in words is "ten billion, five hundred twelve million, two hundred seventy-four thousand, five hundred".