11295725700 has 144 divisors (see below), whose sum is σ = 38056314240. Its totient is φ = 2533140480.

The previous prime is 11295725687. The next prime is 11295725713. The reversal of 11295725700 is 752759211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11295725687) and next prime (11295725713).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60556 + ... + 162044.

It is an arithmetic number, because the mean of its divisors is an integer number (264279960).

Almost surely, 2^11295725700 is an apocalyptic number.

11295725700 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 11295725700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19028157120).

11295725700 is an abundant number, since it is smaller than the sum of its proper divisors (26760588540).

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

11295725700 is a wasteful number, since it uses less digits than its factorization.

11295725700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101566 (or 101559 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 39.

The spelling of 11295725700 in words is "eleven billion, two hundred ninety-five million, seven hundred twenty-five thousand, seven hundred".