10502052000 has 192 divisors, whose sum is σ = 37532896128. Its totient is φ = 2545920000.

The previous prime is 10502051953. The next prime is 10502052031. The reversal of 10502052000 is 25020501.

It is a super-2 number, since 2×10502052000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92220 + ... + 171780.

It is an arithmetic number, because the mean of its divisors is an integer number (195483834).

Almost surely, 2^10502052000 is an apocalyptic number.

10502052000 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 10502052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18766448064).

10502052000 is an abundant number, since it is smaller than the sum of its proper divisors (27030844128).

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

10502052000 is a wasteful number, since it uses less digits than its factorization.

10502052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79600 (or 79582 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

Adding to 10502052000 its reverse (25020501), we get a palindrome (10527072501).

The spelling of 10502052000 in words is "ten billion, five hundred two million, fifty-two thousand".