10241532000 has 1536 divisors, whose sum is σ = 48306585600. Its totient is φ = 2052864000.

The previous prime is 10241531939. The next prime is 10241532043. The reversal of 10241532000 is 23514201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 330371985 + ... + 330372015.

It is an arithmetic number, because the mean of its divisors is an integer number (31449600).

Almost surely, 2^10241532000 is an apocalyptic number.

10241532000 is a gapful number since it is divisible by the number (10) 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 10241532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24153292800).

10241532000 is an abundant number, since it is smaller than the sum of its proper divisors (38065053600).

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

10241532000 is a wasteful number, since it uses less digits than its factorization.

10241532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The spelling of 10241532000 in words is "ten billion, two hundred forty-one million, five hundred thirty-two thousand".