10523893248 has 800 divisors, whose sum is σ = 38501464320. Its totient is φ = 2822307840.

The previous prime is 10523893241. The next prime is 10523893249. The reversal of 10523893248 is 84239832501.

10523893248 is a `hidden beast` number, since 1 + 0 + 523 + 89 + 3 + 2 + 48 = 666.

It is a super-2 number, since 2×10523893248² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10523893241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 178371043 + ... + 178371101.

Almost surely, 2^10523893248 is an apocalyptic number.

10523893248 is a gapful number since it is divisible by the number (18) 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 10523893248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19250732160).

10523893248 is an abundant number, since it is smaller than the sum of its proper divisors (27977571072).

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

10523893248 is a wasteful number, since it uses less digits than its factorization.

10523893248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 10523893248 in words is "ten billion, five hundred twenty-three million, eight hundred ninety-three thousand, two hundred forty-eight".