10523287152 has 320 divisors, whose sum is σ = 36546232320. Its totient is φ = 2834092800.

The previous prime is 10523287139. The next prime is 10523287157. The reversal of 10523287152 is 25178232501.

10523287152 is a `hidden beast` number, since 1 + 0 + 523 + 2 + 87 + 1 + 52 = 666.

It is a super-2 number, since 2×10523287152² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10523287157) 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, 4937127 + ... + 4939257.

It is an arithmetic number, because the mean of its divisors is an integer number (114206976).

Almost surely, 2^10523287152 is an apocalyptic number.

10523287152 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 10523287152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18273116160).

10523287152 is an abundant number, since it is smaller than the sum of its proper divisors (26022945168).

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

10523287152 is a wasteful number, since it uses less digits than its factorization.

10523287152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 10523287152 in words is "ten billion, five hundred twenty-three million, two hundred eighty-seven thousand, one hundred fifty-two".