10276484400 has 1080 divisors, whose sum is σ = 46821765120. Its totient is φ = 2037934080.

The previous prime is 10276484371. The next prime is 10276484429. The reversal of 10276484400 is 448467201.

10276484400 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 648 + 4 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10276484371) and next prime (10276484429).

It is a super-2 number, since 2×10276484400² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 80917137 + ... + 80917263.

Almost surely, 2^10276484400 is an apocalyptic number.

10276484400 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 10276484400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23410882560).

10276484400 is an abundant number, since it is smaller than the sum of its proper divisors (36545280720).

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

10276484400 is a wasteful number, since it uses less digits than its factorization.

10276484400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 10276484400 in words is "ten billion, two hundred seventy-six million, four hundred eighty-four thousand, four hundred".