10260087552 has 648 divisors, whose sum is σ = 37107798000. Its totient is φ = 2700656640.

The previous prime is 10260087547. The next prime is 10260087569. The reversal of 10260087552 is 25578006201.

It is a happy number.

10260087552 is a `hidden beast` number, since 1 + 0 + 26 + 0 + 0 + 87 + 552 = 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68859574 + ... + 68859722.

Almost surely, 2^10260087552 is an apocalyptic number.

10260087552 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 10260087552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18553899000).

10260087552 is an abundant number, since it is smaller than the sum of its proper divisors (26847710448).

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

10260087552 is a wasteful number, since it uses less digits than its factorization.

10260087552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 197 counting only the distinct ones).

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

The spelling of 10260087552 in words is "ten billion, two hundred sixty million, eighty-seven thousand, five hundred fifty-two".