11960314080 has 384 divisors, whose sum is σ = 44574727680. Its totient is φ = 2657525760.

The previous prime is 11960314013. The next prime is 11960314133. The reversal of 11960314080 is 8041306911.

It is a super-2 number, since 2×11960314080² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11187786 + ... + 11188854.

It is an arithmetic number, because the mean of its divisors is an integer number (116080020).

Almost surely, 2^11960314080 is an apocalyptic number.

11960314080 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 11960314080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22287363840).

11960314080 is an abundant number, since it is smaller than the sum of its proper divisors (32614413600).

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

11960314080 is a wasteful number, since it uses less digits than its factorization.

11960314080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 11960314080 in words is "eleven billion, nine hundred sixty million, three hundred fourteen thousand, eighty".