10260355752 has 256 divisors, whose sum is σ = 30481920000. Its totient is φ = 3191088384.

The previous prime is 10260355723. The next prime is 10260355753. The reversal of 10260355752 is 25755306201.

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

It is not an unprimeable number, because it can be changed into a prime (10260355753) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61439173 + ... + 61439339.

It is an arithmetic number, because the mean of its divisors is an integer number (119070000).

Almost surely, 2^10260355752 is an apocalyptic number.

10260355752 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 10260355752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960000).

10260355752 is an abundant number, since it is smaller than the sum of its proper divisors (20221564248).

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

10260355752 is a wasteful number, since it uses less digits than its factorization.

10260355752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 10260355752 in words is "ten billion, two hundred sixty million, three hundred fifty-five thousand, seven hundred fifty-two".