11601716700 has 288 divisors, whose sum is σ = 39645462528. Its totient is φ = 2564352000.

The previous prime is 11601716653. The next prime is 11601716701. The reversal of 11601716700 is 761710611.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11601716701) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10934170 + ... + 10935230.

It is an arithmetic number, because the mean of its divisors is an integer number (137657856).

Almost surely, 2^11601716700 is an apocalyptic number.

11601716700 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 11601716700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19822731264).

11601716700 is an abundant number, since it is smaller than the sum of its proper divisors (28043745828).

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

11601716700 is a wasteful number, since it uses less digits than its factorization.

11601716700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 30.

The spelling of 11601716700 in words is "eleven billion, six hundred one million, seven hundred sixteen thousand, seven hundred".