10241551872 has 280 divisors, whose sum is σ = 32041391184. Its totient is φ = 3262685184.

The previous prime is 10241551823. The next prime is 10241551919. The reversal of 10241551872 is 27815514201.

It is a happy number.

10241551872 is a `hidden beast` number, since 1 + 0 + 24 + 1 + 551 + 87 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 8584108 + ... + 8585300.

Almost surely, 2^10241551872 is an apocalyptic number.

10241551872 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 10241551872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16020695592).

10241551872 is an abundant number, since it is smaller than the sum of its proper divisors (21799839312).

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

10241551872 is an frugal number, since it uses more digits than its factorization.

10241551872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 10241551872 in words is "ten billion, two hundred forty-one million, five hundred fifty-one thousand, eight hundred seventy-two".