10276200000 has 672 divisors, whose sum is σ = 41431098240. Its totient is φ = 2476800000.

The previous prime is 10276199993. The next prime is 10276200007. The reversal of 10276200000 is 267201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10276199993) and next prime (10276200007).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10276200007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59399914 + ... + 59400086.

It is an arithmetic number, because the mean of its divisors is an integer number (61653420).

Almost surely, 2^10276200000 is an apocalyptic number.

10276200000 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 10276200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20715549120).

10276200000 is an abundant number, since it is smaller than the sum of its proper divisors (31154898240).

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

10276200000 is an equidigital number, since it uses as much as digits as its factorization.

10276200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

Adding to 10276200000 its reverse (267201), we get a palindrome (10276467201).

It can be divided in two parts, 10276 and 200000, that added together give a triangular number (210276 = T₆₄₈).

The spelling of 10276200000 in words is "ten billion, two hundred seventy-six million, two hundred thousand".