10210027752 has 128 divisors (see below), whose sum is σ = 29206800000. Its totient is φ = 3302373888.

The previous prime is 10210027721. The next prime is 10210027759. The reversal of 10210027752 is 25772001201.

It is a super-2 number, since 2×10210027752² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10210027759) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3347124 + ... + 3350172.

It is an arithmetic number, because the mean of its divisors is an integer number (228178125).

Almost surely, 2^10210027752 is an apocalyptic number.

10210027752 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 10210027752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14603400000).

10210027752 is an abundant number, since it is smaller than the sum of its proper divisors (18996772248).

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

10210027752 is a wasteful number, since it uses less digits than its factorization.

10210027752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3520 (or 3510 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

Adding to 10210027752 its reverse (25772001201), we get a palindrome (35982028953).

The spelling of 10210027752 in words is "ten billion, two hundred ten million, twenty-seven thousand, seven hundred fifty-two".