10276358400 has 972 divisors, whose sum is σ = 46764913104. Its totient is φ = 2128896000.

The previous prime is 10276358399. The next prime is 10276358437. The reversal of 10276358400 is 485367201.

10276358400 is a `hidden beast` number, since 1 + 0 + 2 + 76 + 3 + 584 + 0 + 0 = 666.

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

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 31046235 + ... + 31046565.

Almost surely, 2^10276358400 is an apocalyptic number.

10276358400 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 10276358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23382456552).

10276358400 is an abundant number, since it is smaller than the sum of its proper divisors (36488554704).

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

10276358400 is a wasteful number, since it uses less digits than its factorization.

10276358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10276358400 in words is "ten billion, two hundred seventy-six million, three hundred fifty-eight thousand, four hundred".