10261689600 has 432 divisors, whose sum is σ = 36269553600. Its totient is φ = 2546073600.

The previous prime is 10261689547. The next prime is 10261689601. The reversal of 10261689600 is 698616201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10261689601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48633495 + ... + 48633705.

It is an arithmetic number, because the mean of its divisors is an integer number (83957300).

Almost surely, 2^10261689600 is an apocalyptic number.

10261689600 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 10261689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18134776800).

10261689600 is an abundant number, since it is smaller than the sum of its proper divisors (26007864000).

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

10261689600 is a wasteful number, since it uses less digits than its factorization.

10261689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 10261689600 in words is "ten billion, two hundred sixty-one million, six hundred eighty-nine thousand, six hundred".