11699756640 has 960 divisors, whose sum is σ = 49792216320. Its totient is φ = 2549698560.

The previous prime is 11699756639. The next prime is 11699756657. The reversal of 11699756640 is 4665799611.

It is a happy number.

11699756640 is a `hidden beast` number, since 11 + 69 + 9 + 7 + 566 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 109343467 + ... + 109343573.

It is an arithmetic number, because the mean of its divisors is an integer number (51866892).

Almost surely, 2^11699756640 is an apocalyptic number.

11699756640 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 11699756640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24896108160).

11699756640 is an abundant number, since it is smaller than the sum of its proper divisors (38092459680).

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

11699756640 is a wasteful number, since it uses less digits than its factorization.

11699756640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 11699756640 in words is "eleven billion, six hundred ninety-nine million, seven hundred fifty-six thousand, six hundred forty".