10610246400 has 216 divisors, whose sum is σ = 37710450960. Its totient is φ = 2611691520.

The previous prime is 10610246389. The next prime is 10610246401. The reversal of 10610246400 is 464201601.

It is a super-2 number, since 2×10610246400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10610246401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228346 + ... + 270854.

Almost surely, 2^10610246400 is an apocalyptic number.

10610246400 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 10610246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18855225480).

10610246400 is an abundant number, since it is smaller than the sum of its proper divisors (27100204560).

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

10610246400 is a wasteful number, since it uses less digits than its factorization.

10610246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42551 (or 42532 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 10610246400 in words is "ten billion, six hundred ten million, two hundred forty-six thousand, four hundred".