10230941952 has 576 divisors, whose sum is σ = 38616883200. Its totient is φ = 2594488320.

The previous prime is 10230941947. The next prime is 10230941953. The reversal of 10230941952 is 25914903201.

10230941952 is a `hidden beast` number, since 1 + 0 + 230 + 9 + 419 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10230941953) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25014324 + ... + 25014732.

It is an arithmetic number, because the mean of its divisors is an integer number (67043200).

Almost surely, 2^10230941952 is an apocalyptic number.

10230941952 is a gapful number since it is divisible by the number (12) 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 10230941952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19308441600).

10230941952 is an abundant number, since it is smaller than the sum of its proper divisors (28385941248).

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

10230941952 is a wasteful number, since it uses less digits than its factorization.

10230941952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 10230941952 in words is "ten billion, two hundred thirty million, nine hundred forty-one thousand, nine hundred fifty-two".