11702250560 has 672 divisors, whose sum is σ = 40454080128. Its totient is φ = 3158507520.

The previous prime is 11702250559. The next prime is 11702250583. The reversal of 11702250560 is 6505220711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38117927 + ... + 38118233.

It is an arithmetic number, because the mean of its divisors is an integer number (60199524).

Almost surely, 2^11702250560 is an apocalyptic number.

11702250560 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 11702250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20227040064).

11702250560 is an abundant number, since it is smaller than the sum of its proper divisors (28751829568).

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

11702250560 is a wasteful number, since it uses less digits than its factorization.

11702250560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 29.

It can be divided in two parts, 11702 and 250560, that added together give a palindrome (262262).

The spelling of 11702250560 in words is "eleven billion, seven hundred two million, two hundred fifty thousand, five hundred sixty".