10261210400 has 216 divisors, whose sum is σ = 29339622144. Its totient is φ = 3432844800.

The previous prime is 10261210373. The next prime is 10261210417. The reversal of 10261210400 is 401216201.

10261210400 = T₂₅₁ + T₂₅₂ + ... + T₃₉₄₈.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10353905 + ... + 10354895.

It is an arithmetic number, because the mean of its divisors is an integer number (135831584).

Almost surely, 2^10261210400 is an apocalyptic number.

10261210400 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 10261210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14669811072).

10261210400 is an abundant number, since it is smaller than the sum of its proper divisors (19078411744).

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

10261210400 is an equidigital number, since it uses as much as digits as its factorization.

10261210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10261210400 its reverse (401216201), we get a palindrome (10662426601).

The spelling of 10261210400 in words is "ten billion, two hundred sixty-one million, two hundred ten thousand, four hundred".