248532502500 has 840 divisors, whose sum is σ = 867345760512. Its totient is φ = 62169120000.

The previous prime is 248532502499. The next prime is 248532502573. The reversal of 248532502500 is 5205235842.

It is a happy number.

248532502500 is a `hidden beast` number, since 2 + 4 + 85 + 325 + 0 + 250 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 2994367459 + ... + 2994367541.

Almost surely, 2^248532502500 is an apocalyptic number.

248532502500 is a gapful number since it is divisible by the number (20) 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 248532502500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433672880256).

248532502500 is an abundant number, since it is smaller than the sum of its proper divisors (618813258012).

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

248532502500 is an equidigital number, since it uses as much as digits as its factorization.

248532502500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 248532502500 in words is "two hundred forty-eight billion, five hundred thirty-two million, five hundred two thousand, five hundred".