10452479310 has 288 divisors, whose sum is σ = 35408655360. Its totient is φ = 2088882432.

The previous prime is 10452479287. The next prime is 10452479333. The reversal of 10452479310 is 1397425401.

10452479310 is a `hidden beast` number, since 104 + 52 + 479 + 31 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10452479287) and next prime (10452479333).

It is a super-2 number, since 2×10452479310² (a number of 21 digits) contains 22 as substring.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2020347 + ... + 2025513.

It is an arithmetic number, because the mean of its divisors is an integer number (122946720).

Almost surely, 2^10452479310 is an apocalyptic number.

10452479310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10452479310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17704327680).

10452479310 is an abundant number, since it is smaller than the sum of its proper divisors (24956176050).

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

10452479310 is a wasteful number, since it uses less digits than its factorization.

10452479310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5232 (or 5216 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10452479310 in words is "ten billion, four hundred fifty-two million, four hundred seventy-nine thousand, three hundred ten".